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Circle-valued Morse theory [[electronic resource] /] / Andrei V. Pajitnov
| Circle-valued Morse theory [[electronic resource] /] / Andrei V. Pajitnov |
| Autore | Pajitnov Andrei V |
| Pubbl/distr/stampa | Berlin ; ; New York, : De Gruyter, c2006 |
| Descrizione fisica | 1 online resource (464 pages) |
| Disciplina | 514/.74 |
| Collana | De Gruyter studies in mathematics |
| Soggetto topico |
Morse theory
Manifolds (Mathematics) |
| Soggetto non controllato |
Differential geometry
Morse theory |
| ISBN |
1-282-19426-7
9786612194269 3-11-019797-9 |
| Classificazione | SK 350 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Preface -- Introduction -- Part 1. Morse functions and vector fields on manifolds -- CHAPTER 1. Vector fields and C0 topology -- CHAPTER 2. Morse functions and their gradients -- CHAPTER 3. Gradient flows of real-valued Morse functions -- Part 2. Transversality, handles, Morse complexes -- CHAPTER 4. The Kupka-Smale transversality theory for gradient flows -- CHAPTER 5. Handles -- CHAPTER 6. The Morse complex of a Morse function -- Part 3. Cellular gradients -- CHAPTER 7. Condition (C) -- CHAPTER 8. Cellular gradients are C0-generic -- CHAPTER 9. Properties of cellular gradients -- Part 4. Circle-valued Morse maps and Novikov complexes -- CHAPTER 10. Completions of rings, modules and complexes -- CHAPTER 11. The Novikov complex of a circle-valued Morse map -- CHAPTER 12. Cellular gradients of circle-valued Morse functions and the Rationality Theorem -- CHAPTER 13. Counting closed orbits of the gradient flow -- CHAPTER 14. Selected topics in the Morse-Novikov theory -- Backmatter |
| Record Nr. | UNINA-9910782523503321 |
Pajitnov Andrei V
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| Berlin ; ; New York, : De Gruyter, c2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Circle-valued Morse theory [[electronic resource] /] / Andrei V. Pajitnov
| Circle-valued Morse theory [[electronic resource] /] / Andrei V. Pajitnov |
| Autore | Pajitnov Andrei V |
| Pubbl/distr/stampa | Berlin ; ; New York, : De Gruyter, c2006 |
| Descrizione fisica | 1 online resource (464 pages) |
| Disciplina | 514/.74 |
| Collana | De Gruyter studies in mathematics |
| Soggetto topico |
Morse theory
Manifolds (Mathematics) |
| Soggetto non controllato |
Differential geometry
Morse theory |
| ISBN |
1-282-19426-7
9786612194269 3-11-019797-9 |
| Classificazione | SK 350 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Preface -- Introduction -- Part 1. Morse functions and vector fields on manifolds -- CHAPTER 1. Vector fields and C0 topology -- CHAPTER 2. Morse functions and their gradients -- CHAPTER 3. Gradient flows of real-valued Morse functions -- Part 2. Transversality, handles, Morse complexes -- CHAPTER 4. The Kupka-Smale transversality theory for gradient flows -- CHAPTER 5. Handles -- CHAPTER 6. The Morse complex of a Morse function -- Part 3. Cellular gradients -- CHAPTER 7. Condition (C) -- CHAPTER 8. Cellular gradients are C0-generic -- CHAPTER 9. Properties of cellular gradients -- Part 4. Circle-valued Morse maps and Novikov complexes -- CHAPTER 10. Completions of rings, modules and complexes -- CHAPTER 11. The Novikov complex of a circle-valued Morse map -- CHAPTER 12. Cellular gradients of circle-valued Morse functions and the Rationality Theorem -- CHAPTER 13. Counting closed orbits of the gradient flow -- CHAPTER 14. Selected topics in the Morse-Novikov theory -- Backmatter |
| Record Nr. | UNINA-9910825910603321 |
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Pajitnov Andrei V
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| Berlin ; ; New York, : De Gruyter, c2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Elementary Symplectic Topology and Mechanics / Franco Cardin
| Elementary Symplectic Topology and Mechanics / Franco Cardin |
| Autore | Cardin, Franco |
| Pubbl/distr/stampa | Cham, : Springer, : Unione Matematica Italiana, 2015 |
| Descrizione fisica | xvii, 222 p. : ill. ; 24 cm |
| Soggetto topico |
53Dxx - Symplectic geometry, contact geometry [MSC 2020]
37Jxx - Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems [MSC 2020] 58Exx - Variational problems in infinite-dimensional spaces [MSC 2020] 53Zxx - Applications of differential geometry to sciences and engineering [MSC 2020] 35F21 - Hamilton-Jacobi equations [MSC 2020] |
| Soggetto non controllato |
Hamilton-Jacobi Equation
Lusternik-Schnirelman theory Morse theory Symplectic geometry Viterbo symplectic topology |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN0125308 |
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Cardin, Franco
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| Cham, : Springer, : Unione Matematica Italiana, 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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Foundational Essays on Topological Manifolds, Smoothings, and Triangulations. (AM-88), Volume 88 / / Laurence C. Siebenmann, Robion C. Kirby
| Foundational Essays on Topological Manifolds, Smoothings, and Triangulations. (AM-88), Volume 88 / / Laurence C. Siebenmann, Robion C. Kirby |
| Autore | Kirby Robion C. |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (373 pages) : illustrations |
| Disciplina | 514/.7 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Manifolds (Mathematics)
Piecewise linear topology Triangulating manifolds |
| Soggetto non controllato |
Affine space
Algebraic topology (object) Approximation Associative property Automorphism Big O notation CW complex Calculation Cap product Cartesian product Category of sets Chain complex Classification theorem Classifying space Cobordism Codimension Cofibration Cohomology Connected space Continuous function (set theory) Continuous function Counterexample Diffeomorphism Differentiable manifold Differential structure Differential topology Dimension (vector space) Direct proof Disjoint union Elementary proof Embedding Euclidean space Existence theorem Existential quantification Fiber bundle Fibration General position Geometry Group homomorphism H-cobordism H-space Handle decomposition Handlebody Hauptvermutung Hausdorff space Hilbert cube Homeomorphism group Homeomorphism Homomorphism Homotopy group Homotopy Inclusion map Injective function Invertible matrix K-cell (mathematics) Kan extension Linear subspace Linear topology Manifold Mapping cylinder Mathematical induction Mathematician Metric space Morse theory Neighbourhood (mathematics) Open set Partition of unity Piecewise linear manifold Piecewise linear Poincaré conjecture Polyhedron Principal bundle Product metric Pushout (category theory) Regular homotopy Retract Sheaf (mathematics) Simplicial complex Smoothing Spin structure Stability theory Stable manifold Standard map Submanifold Submersion (mathematics) Subset Surgery exact sequence Surjective function Theorem Topological group Topological manifold Topological space Topology Transversal (geometry) Transversality (mathematics) Transversality theorem Union (set theory) Uniqueness theorem Vector bundle Zorn's lemma |
| ISBN | 1-4008-8150-1 |
| Classificazione | SI 830 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Foreword -- Table of contents -- Guide -- Essay I. Deformation of smooth and piecewise linear manifold structures / Kirby, R. / Siebenmann, L. -- Essay II. Deformation of sliced families of manifold structures / Siebenmann, L. -- Essay III. Some basic theorems about topological manifolds / Siebenmann, L. / Kirby, R. -- Essay IV. Stable classification of smooth and piecewise linear manifold structures / Siebenmann, L. -- Essay V. Classification of sliced families of manifold structures / Siebenmann, L. -- Annex A. Stable homeomorphisms and the annulus conjecture / Kirby, Robion C. -- Annex B. On The Triangulation of Manifolds and the Hauptvermutung / Kirby, R. C. / Siebenmann, L. C. -- Annex C. Topological Manifolds / Siebenmann, L. C. -- Note on Involutions / Atiyah, M. F. -- Combined Bibliography -- Index -- Backmatter |
| Record Nr. | UNINA-9910154753803321 |
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Kirby Robion C.
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Geometrical themes inspired by the N-body problem / Luis Hernández-Lamoneda, Haydeé Herrera, Rafael Herrera editors
| Geometrical themes inspired by the N-body problem / Luis Hernández-Lamoneda, Haydeé Herrera, Rafael Herrera editors |
| Pubbl/distr/stampa | [Cham], : Springer, 2018 |
| Descrizione fisica | VII, 125 p. : ill. ; 24 cm |
| Soggetto topico |
34Mxx - Ordinary differential equations in the complex domain [MSC 2020]
53C15 - General geometric structures on manifolds (almost complex, almost product structures, etc.) [MSC 2020] 70F07 - Three-body problem [MSC 2020] 57R58 - Floer homology [MSC 2020] 53D12 - Lagrangian submanifolds; Maslov index [MSC 2020] 37D15 - Morse-Smale systems [MSC 2020] |
| Soggetto non controllato |
Arnol'd conjecture for Hamiltonian diffeomorphisms
Complex differential equations Free homotopy classes of loops Isochronous solutions Lagrangian Floer homology McGehee transformation Morse theory N-body problem Ordinary differential equations |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN0117075 |
| [Cham], : Springer, 2018 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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The hypoelliptic Laplacian and Ray-Singer metrics [[electronic resource] /] / Jean-Michel Bismut, Gilles Lebeau
| The hypoelliptic Laplacian and Ray-Singer metrics [[electronic resource] /] / Jean-Michel Bismut, Gilles Lebeau |
| Autore | Bismut Jean-Michel |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, : Princeton University Press, 2008 |
| Descrizione fisica | 1 online resource (378 p.) |
| Disciplina | 515/.7242 |
| Altri autori (Persone) | LebeauGilles |
| Collana | Annals of mathematics studies |
| Soggetto topico |
Differential equations, Hypoelliptic
Laplacian operator Metric spaces |
| Soggetto non controllato |
Alexander Grothendieck
Analytic function Asymptote Asymptotic expansion Berezin integral Bijection Brownian dynamics Brownian motion Chaos theory Chern class Classical Wiener space Clifford algebra Cohomology Combination Commutator Computation Connection form Coordinate system Cotangent bundle Covariance matrix Curvature tensor Curvature De Rham cohomology Derivative Determinant Differentiable manifold Differential operator Dirac operator Direct proof Eigenform Eigenvalues and eigenvectors Ellipse Embedding Equation Estimation Euclidean space Explicit formula Explicit formulae (L-function) Feynman–Kac formula Fiber bundle Fokker–Planck equation Formal power series Fourier series Fourier transform Fredholm determinant Function space Girsanov theorem Ground state Heat kernel Hilbert space Hodge theory Holomorphic function Holomorphic vector bundle Hypoelliptic operator Integration by parts Invertible matrix Logarithm Malliavin calculus Martingale (probability theory) Matrix calculus Mellin transform Morse theory Notation Parameter Parametrix Parity (mathematics) Polynomial Principal bundle Probabilistic method Projection (linear algebra) Rectangle Resolvent set Ricci curvature Riemann–Roch theorem Scientific notation Self-adjoint operator Self-adjoint Sign convention Smoothness Sobolev space Spectral theory Square root Stochastic calculus Stochastic process Summation Supertrace Symmetric space Tangent space Taylor series Theorem Theory Torus Trace class Translational symmetry Transversality (mathematics) Uniform convergence Variable (mathematics) Vector bundle Vector space Wave equation |
| ISBN |
1-282-45837-X
9786612458378 1-4008-2906-2 |
| Classificazione | SK 620 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Introduction -- Chapter 1. Elliptic Riemann-Roch-Grothendieck and flat vector bundles -- Chapter 2. The hypoelliptic Laplacian on the cotangent bundle -- Chapter 3. Hodge theory, the hypoelliptic Laplacian and its heat kernel -- Chapter 4. Hypoelliptic Laplacians and odd Chern forms -- Chapter 5. The limit as t → +∞ and b → 0 of the superconnection forms -- Chapter 6. Hypoelliptic torsion and the hypoelliptic Ray-Singer metrics -- Chapter 7. The hypoelliptic torsion forms of a vector bundle -- Chapter 8. Hypoelliptic and elliptic torsions: a comparison formula -- Chapter 9. A comparison formula for the Ray-Singer metrics -- Chapter 10. The harmonic forms for b → 0 and the formal Hodge theorem -- Chapter 11. A proof of equation (8.4.6) -- Chapter 12. A proof of equation (8.4.8) -- Chapter 13. A proof of equation (8.4.7) -- Chapter 14. The integration by parts formula -- Chapter 15. The hypoelliptic estimates -- Chapter 16. Harmonic oscillator and the J0 function -- Chapter 17. The limit of A'2φb,±H as b → 0 -- Bibliography -- Subject Index -- Index of Notation |
| Record Nr. | UNINA-9910781084803321 |
|
Bismut Jean-Michel
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| Princeton, : Princeton University Press, 2008 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The hypoelliptic Laplacian and Ray-Singer metrics [[electronic resource] /] / Jean-Michel Bismut, Gilles Lebeau
| The hypoelliptic Laplacian and Ray-Singer metrics [[electronic resource] /] / Jean-Michel Bismut, Gilles Lebeau |
| Autore | Bismut Jean-Michel |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, : Princeton University Press, 2008 |
| Descrizione fisica | 1 online resource (378 p.) |
| Disciplina | 515/.7242 |
| Altri autori (Persone) | LebeauGilles |
| Collana | Annals of mathematics studies |
| Soggetto topico |
Differential equations, Hypoelliptic
Laplacian operator Metric spaces |
| Soggetto non controllato |
Alexander Grothendieck
Analytic function Asymptote Asymptotic expansion Berezin integral Bijection Brownian dynamics Brownian motion Chaos theory Chern class Classical Wiener space Clifford algebra Cohomology Combination Commutator Computation Connection form Coordinate system Cotangent bundle Covariance matrix Curvature tensor Curvature De Rham cohomology Derivative Determinant Differentiable manifold Differential operator Dirac operator Direct proof Eigenform Eigenvalues and eigenvectors Ellipse Embedding Equation Estimation Euclidean space Explicit formula Explicit formulae (L-function) Feynman–Kac formula Fiber bundle Fokker–Planck equation Formal power series Fourier series Fourier transform Fredholm determinant Function space Girsanov theorem Ground state Heat kernel Hilbert space Hodge theory Holomorphic function Holomorphic vector bundle Hypoelliptic operator Integration by parts Invertible matrix Logarithm Malliavin calculus Martingale (probability theory) Matrix calculus Mellin transform Morse theory Notation Parameter Parametrix Parity (mathematics) Polynomial Principal bundle Probabilistic method Projection (linear algebra) Rectangle Resolvent set Ricci curvature Riemann–Roch theorem Scientific notation Self-adjoint operator Self-adjoint Sign convention Smoothness Sobolev space Spectral theory Square root Stochastic calculus Stochastic process Summation Supertrace Symmetric space Tangent space Taylor series Theorem Theory Torus Trace class Translational symmetry Transversality (mathematics) Uniform convergence Variable (mathematics) Vector bundle Vector space Wave equation |
| ISBN |
1-282-45837-X
9786612458378 1-4008-2906-2 |
| Classificazione | SK 620 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Introduction -- Chapter 1. Elliptic Riemann-Roch-Grothendieck and flat vector bundles -- Chapter 2. The hypoelliptic Laplacian on the cotangent bundle -- Chapter 3. Hodge theory, the hypoelliptic Laplacian and its heat kernel -- Chapter 4. Hypoelliptic Laplacians and odd Chern forms -- Chapter 5. The limit as t → +∞ and b → 0 of the superconnection forms -- Chapter 6. Hypoelliptic torsion and the hypoelliptic Ray-Singer metrics -- Chapter 7. The hypoelliptic torsion forms of a vector bundle -- Chapter 8. Hypoelliptic and elliptic torsions: a comparison formula -- Chapter 9. A comparison formula for the Ray-Singer metrics -- Chapter 10. The harmonic forms for b → 0 and the formal Hodge theorem -- Chapter 11. A proof of equation (8.4.6) -- Chapter 12. A proof of equation (8.4.8) -- Chapter 13. A proof of equation (8.4.7) -- Chapter 14. The integration by parts formula -- Chapter 15. The hypoelliptic estimates -- Chapter 16. Harmonic oscillator and the J0 function -- Chapter 17. The limit of A'2φb,±H as b → 0 -- Bibliography -- Subject Index -- Index of Notation |
| Record Nr. | UNINA-9910823892903321 |
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Bismut Jean-Michel
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| Princeton, : Princeton University Press, 2008 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Knot Groups. Annals of Mathematics Studies. (AM-56), Volume 56 / / Lee Paul Neuwirth
| Knot Groups. Annals of Mathematics Studies. (AM-56), Volume 56 / / Lee Paul Neuwirth |
| Autore | Neuwirth Lee Paul |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (120 pages) : illustrations |
| Disciplina | 513.8 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico | Knot theory |
| Soggetto non controllato |
Abelian group
Alexander duality Alexander polynomial Algebraic theory Algorithm Analytic continuation Associative property Automorphism Axiom Bijection Binary relation Calculation Central series Characterization (mathematics) Cobordism Coefficient Cohomology Combinatorics Commutator subgroup Complete theory Computation Conjugacy class Conjugate element (field theory) Connected space Connectedness Coprime integers Coset Covering space Curve Cyclic group Dehn's lemma Determinant Diagonalization Diagram (category theory) Dimension Direct product Equivalence class Equivalence relation Euclidean space Euler characteristic Existential quantification Fiber bundle Finite group Finitely generated module Frattini subgroup Free abelian group Fundamental group Geometry Group ring Group theory Group with operators Hausdorff space Homeomorphism Homology (mathematics) Homomorphism Homotopy group Homotopy Identity matrix Inner automorphism Interior (topology) Intersection number (graph theory) Knot group Knot theory Linear combination Manifold Mathematical induction Monomorphism Morphism Morse theory Natural transformation Non-abelian group Normal subgroup Orientability Permutation Polynomial Presentation of a group Principal ideal domain Principal ideal Root of unity Semigroup Simplicial complex Simply connected space Special case Square matrix Subgroup Subset Summation Theorem Three-dimensional space (mathematics) Topological space Topology Torus knot Transfinite number Trefoil knot Trichotomy (mathematics) Trivial group Triviality (mathematics) Two-dimensional space Unit vector Wreath product |
| ISBN | 1-4008-8203-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- CONTENTS -- CHAPTER I. INTRODUCTION -- CHAPTER II. NOTATION AND CONVENTIONS -- CHAPTER III. COMBINATORIAL COVERING SPACE THEORY FOR 3-MANIFOLDS -- CHAPTER IV. THE COMMUTATOR SUBGROUP AND THE ALEXANDER MATRIX -- CHAPTER V. SUBGROUPS -- CHAPTER VI. REPRESENTATIONS -- CHAPTER VII. AUTOMORPHISMS -- CHAPTER VIII. A GROUP OF GROUPS -- CHAPTER IX. THE CHARACTERIZATION PROBLEM -- CHAPTER X. THE STRENGTH OP THE GROUP -- CHAPTER XI. PROBLEMS -- APPENDIX BY S. Eileriberg -- REFERENCES -- INDEX |
| Record Nr. | UNINA-9910154747703321 |
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Neuwirth Lee Paul
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Morse theory and Floer homology / Michèle Audin, Mihai Damian ; translated by Reinie Erné
| Morse theory and Floer homology / Michèle Audin, Mihai Damian ; translated by Reinie Erné |
| Autore | Audin, Michele |
| Pubbl/distr/stampa | London, : Springer ; EDP sciences, 2014 |
| Descrizione fisica | XIV, 596 p. : ill. ; 24 cm |
| Altri autori (Persone) | Damian, Mihai |
| Soggetto topico |
53Dxx - Symplectic geometry, contact geometry [MSC 2020]
57R17 - Symplectic and contact topology in high or arbitrary dimension [MSC 2020] 53D40 - Symplectic aspects of Floer homology and cohomology [MSC 2020] 57R58 - Floer homology [MSC 2020] |
| Soggetto non controllato |
Arnold Conjecture
Floer Complex Floer homology Gluing Hamiltonian systems Maslov Index Morse Complex Morse Inequalities Morse homology Morse theory Symplectic Group Symplectic manifolds |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN0102533 |
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Audin, Michele
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| London, : Springer ; EDP sciences, 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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Nonlinear Analysis : Theory and Methods / Nikolaos S. Papageorgiou, Vicenţiu D. Rădulescu, Dušan D. Repovš
| Nonlinear Analysis : Theory and Methods / Nikolaos S. Papageorgiou, Vicenţiu D. Rădulescu, Dušan D. Repovš |
| Autore | Papageorgiou, Nikolaos Socrates |
| Pubbl/distr/stampa | Cham, : Springer, 2019 |
| Descrizione fisica | xi, 577 p. : ill. ; 24 cm |
| Altri autori (Persone) |
Rădulescu, Vicenţiu D.
Repovs, Dušan D. |
| Soggetto topico |
49-XX - Calculus of variations and optimal control; optimization [MSC 2020]
58-XX - Global analysis, analysis on manifolds [MSC 2020] 35-XX - Partial differential equations [MSC 2020] |
| Soggetto non controllato |
Boundary Value Problems
Critical groups Critical point theory Morse theory Nonlinear elliptic equations Partial differential equations Sobolev spaces Topological degree Variational Principle |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN0127048 |
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Papageorgiou, Nikolaos Socrates
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| Cham, : Springer, 2019 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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