Characteristic Classes. (AM-76), Volume 76 / / John Milnor, James D. Stasheff |
Autore | Milnor John |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (339 pages) : illustrations |
Disciplina | 514/.7 |
Collana | Annals of Mathematics Studies |
Soggetto topico | Characteristic classes |
Soggetto non controllato |
Additive group
Axiom Basis (linear algebra) Boundary (topology) Bundle map CW complex Canonical map Cap product Cartesian product Characteristic class Charles Ehresmann Chern class Classifying space Coefficient Cohomology ring Cohomology Compact space Complex dimension Complex manifold Complex vector bundle Complexification Computation Conformal geometry Continuous function Coordinate space Cross product De Rham cohomology Diffeomorphism Differentiable manifold Differential form Differential operator Dimension (vector space) Dimension Direct sum Directional derivative Eilenberg–Steenrod axioms Embedding Equivalence class Euler class Euler number Existence theorem Existential quantification Exterior (topology) Fiber bundle Fundamental class Fundamental group General linear group Grassmannian Gysin sequence Hausdorff space Homeomorphism Homology (mathematics) Homotopy Identity element Integer Interior (topology) Isomorphism class J-homomorphism K-theory Leibniz integral rule Levi-Civita connection Limit of a sequence Linear map Metric space Natural number Natural topology Neighbourhood (mathematics) Normal bundle Open set Orthogonal complement Orthogonal group Orthonormal basis Partition of unity Permutation Polynomial Power series Principal ideal domain Projection (mathematics) Representation ring Riemannian manifold Sequence Singular homology Smoothness Special case Steenrod algebra Stiefel–Whitney class Subgroup Subset Symmetric function Tangent bundle Tensor product Theorem Thom space Topological space Topology Unit disk Unit vector Variable (mathematics) Vector bundle Vector space |
ISBN | 1-4008-8182-X |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Preface -- Contents -- §1. Smooth Manifolds -- §2. Vector Bundles -- §3. Constructing New Vector Bundles Out of Old -- §4. Stiefel-Whitney Classes -- §5. Grassmann Manifolds and Universal Bundles -- §6. A Cell Structure for Grassmann Manifolds -- §7. The Cohomology Ring H*(Gn; Z/2) -- §8. Existence of Stiefel-Whitney Classes -- §9. Oriented Bundles and the Euler Class -- §10. The Thom Isomorphism Theorem -- §11. Computations in a Smooth Manifold -- §12. Obstructions -- §13. Complex Vector Bundles and Complex Manifolds -- §14. Chern Classes -- §15. Pontrjagin Classes -- §16. Chern Numbers and Pontrjagin Numbers -- §17. The Oriented Cobordism Ring Ω* -- §18. Thom Spaces and Transversality -- §19. Multiplicative Sequences and the Signature Theorem -- §20. Combinatorial Pontrjagin Classes -- Epilogue -- Appendix A: Singular Homology and Cohomology -- Appendix B: Bernoulli Numbers -- Appendix C: Connections, Curvature, and Characteristic Classes -- Bibliography -- Index |
Record Nr. | UNINA-9910154754803321 |
Milnor John | ||
Princeton, NJ : , : Princeton University Press, , [2016] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
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Complex Dynamics and Renormalization (AM-135), Volume 135 / / Curtis T. McMullen |
Autore | McMullen Curtis T. |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (229 pages) : illustrations |
Disciplina | 530.1/43/0151 |
Collana | Annals of Mathematics Studies |
Soggetto topico |
Renormalization (Physics)
Polynomials Dynamics Mathematical physics |
Soggetto non controllato |
Analytic function
Attractor Automorphism Bernhard Riemann Bounded set Branched covering Cantor set Cardioid Chain rule Coefficient Combinatorics Complex manifold Complex plane Complex torus Conformal geometry Conformal map Conjecture Connected space Covering space Cyclic group Degeneracy (mathematics) Dense set Diagram (category theory) Diameter Differential geometry of surfaces Dihedral group Dimension (vector space) Dimension Disjoint sets Disk (mathematics) Dynamical system Endomorphism Equivalence class Equivalence relation Ergodic theory Euler characteristic Filled Julia set Geometric function theory Geometry Hausdorff dimension Holomorphic function Homeomorphism Homology (mathematics) Hyperbolic geometry Implicit function theorem Injective function Integer matrix Interval (mathematics) Inverse limit Julia set Kleinian group Limit point Limit set Linear map Mandelbrot set Manifold Markov partition Mathematical induction Maxima and minima Measure (mathematics) Moduli (physics) Monic polynomial Montel's theorem Möbius transformation Natural number Open set Orbifold Periodic point Permutation Point at infinity Pole (complex analysis) Polynomial Proper map Quadratic differential Quadratic function Quadratic Quasi-isometry Quasiconformal mapping Quotient space (topology) Removable singularity Renormalization Riemann mapping theorem Riemann sphere Riemann surface Rigidity theory (physics) Scalar (physics) Schwarz lemma Scientific notation Special case Structural stability Subgroup Subsequence Symbolic dynamics Tangent space Theorem Uniformization theorem Uniformization Union (set theory) Unit disk Upper and lower bounds |
ISBN | 1-4008-8255-9 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Contents -- Chapter 1. Introduction -- Chapter 2. Background in conformal geometry -- Chapter 3. Dynamics of rational maps -- Chapter 4. Holomorphic motions and the Mandelbrot set -- Chapter 5. Compactness in holomorphic dynamics -- Chapter 6. Polynomials and external rays -- Chapter 7. Renormalization -- Chapter 8. Puzzles and infinite renormalization -- Chapter 9. Robustness -- Chapter 10. Limits of renormalization -- Chapter 11. Real quadratic polynomials -- Appendix A. Orbifolds -- Appendix B. A closing lemma for rational maps -- Bibliography -- Index |
Record Nr. | UNINA-9910154745403321 |
McMullen Curtis T. | ||
Princeton, NJ : , : Princeton University Press, , [2016] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
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Conformal Geometry : Computational Algorithms and Engineering Applications / Miao Jin ... [et al.] |
Pubbl/distr/stampa | Cham, : Springer, 2018 |
Descrizione fisica | xiii, 314 p. : ill. ; 24 cm |
Soggetto topico |
68Uxx - Computing methodologies and applications [MSC 2020]
65-XX - Numerical analysis [MSC 2020] 00A69 - General applied mathematics [MSC 2020] 65D18 - Numerical aspects of computer graphics, image analysis, and computational geometry [MSC 2020] |
Soggetto non controllato |
Computational Algorithms and Engineering Applications
Computer Graphics & Vision Conformal geometry Geometric Modeling Wireless Sensor Networks |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Titolo uniforme | |
Record Nr. | UNICAMPANIA-VAN0124613 |
Cham, : Springer, 2018 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Vanvitelli | ||
|
Conformal Geometry : Computational Algorithms and Engineering Applications / Miao Jin ... [et al.] |
Pubbl/distr/stampa | Cham, : Springer, 2018 |
Descrizione fisica | xiii, 314 p. : ill. ; 24 cm |
Soggetto topico |
00A69 - General applied mathematics [MSC 2020]
65-XX - Numerical analysis [MSC 2020] 65D18 - Numerical aspects of computer graphics, image analysis, and computational geometry [MSC 2020] 68Uxx - Computing methodologies and applications [MSC 2020] |
Soggetto non controllato |
Computational Algorithms and Engineering Applications
Computer Graphics & Vision Conformal geometry Geometric Modeling Wireless Sensor Networks |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Titolo uniforme | |
Record Nr. | UNICAMPANIA-VAN00124613 |
Cham, : Springer, 2018 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Vanvitelli | ||
|
Conformal symmetry breaking operators for differential forms on spheres / Toshiyuki Kobayashi, Toshihisa Kubo, Michael Pevzner |
Autore | Kobayashi, Toshiyuki |
Pubbl/distr/stampa | Singapore, : Springer, 2016 |
Descrizione fisica | IX, 192 p. ; 24 cm |
Altri autori (Persone) |
Kubo, Toshihisa
Pevzner, Michael |
Soggetto topico |
53A31 - Differential geometry of submanifolds of Möbius space [MSC 2020]
22E47 - Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) [MSC 2020] 22E46 - Semisimple Lie groups and their representations [MSC 2020] 53C10 - G-structures [MSC 2020] 58J70 - Invariance and symmetry properties for PDEs on manifolds [MSC 2020] |
Soggetto non controllato |
Branching law
Conformal geometry Conformal holography Differential Forms F-method Fradkin-Tseytlin operator Gegenbauer polynomial Hodge operator Homogeneous space Hyperbolic space Hypergeometric function Lie groups Lorentz group Paneitz operator Reductive Groups Riemannian geometry Symmetry breaking operators Unitary representations Verma module Yamabe operator |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Titolo uniforme | |
Record Nr. | UNICAMPANIA-VAN0107586 |
Kobayashi, Toshiyuki | ||
Singapore, : Springer, 2016 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Vanvitelli | ||
|
Conformal symmetry breaking operators for differential forms on spheres / Toshiyuki Kobayashi, Toshihisa Kubo, Michael Pevzner |
Autore | Kobayashi, Toshiyuki |
Pubbl/distr/stampa | Singapore, : Springer, 2016 |
Descrizione fisica | IX, 192 p. ; 24 cm |
Altri autori (Persone) |
Kubo, Toshihisa
Pevzner, Michael |
Soggetto topico |
22E46 - Semisimple Lie groups and their representations [MSC 2020]
22E47 - Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) [MSC 2020] 53A31 - Differential geometry of submanifolds of Möbius space [MSC 2020] 53C10 - G-structures [MSC 2020] 58J70 - Invariance and symmetry properties for PDEs on manifolds [MSC 2020] |
Soggetto non controllato |
Branching law
Conformal geometry Conformal holography Differential Forms F-method Fradkin-Tseytlin operator Gegenbauer polynomial Hodge operator Homogeneous space Hyperbolic space Hypergeometric function Lie groups Lorentz group Paneitz operator Reductive Groups Riemannian geometry Symmetry breaking operators Unitary representations Verma module Yamabe operator |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Titolo uniforme | |
Record Nr. | UNICAMPANIA-VAN00107586 |
Kobayashi, Toshiyuki | ||
Singapore, : Springer, 2016 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Vanvitelli | ||
|
Cosmology in (2 + 1) -Dimensions, Cyclic Models, and Deformations of M2,1. (AM-121), Volume 121 / / Victor Guillemin |
Autore | Guillemin Victor |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (236 pages) : illustrations |
Disciplina | 523.1/072/4 |
Collana | Annals of Mathematics Studies |
Soggetto topico |
Cosmology - Mathematical models
Geometry, Differential Lorentz transformations |
Soggetto non controllato |
Automorphism
Bijection C0 Canonical form Canonical transformation Cauchy distribution Causal structure Cayley transform Codimension Cohomology Cokernel Compactification (mathematics) Complexification (Lie group) Computation Conformal geometry Conformal map Conformal symmetry Connected sum Contact geometry Corank Covariant derivative Covering space Deformation theory Diagram (category theory) Diffeomorphism Differentiable manifold Differential operator Dimension (vector space) Einstein field equations Equation Euler characteristic Existential quantification Fiber bundle Fibration Floquet theory Four-dimensional space Fourier integral operator Fourier transform Fundamental group Geodesic Hamilton–Jacobi equation Hilbert space Holomorphic function Holomorphic vector bundle Hyperfunction Hypersurface Integral curve Integral geometry Integral transform Intersection (set theory) Invertible matrix K-finite Lagrangian (field theory) Lie algebra Light cone Linear map Manifold Maxima and minima Minkowski space Module (mathematics) Notation One-parameter group Parametrix Parametrization Principal bundle Product metric Pseudo-differential operator Quadratic equation Quadratic form Quadric Radon transform Riemann surface Riemannian manifold Seifert fiber space Sheaf (mathematics) Siegel domain Simply connected space Submanifold Submersion (mathematics) Support (mathematics) Surjective function Symplectic manifold Symplectic vector space Symplectomorphism Tangent space Tautology (logic) Tensor product Theorem Topological space Topology Two-dimensional space Unit vector Universal enveloping algebra Variable (mathematics) Vector bundle Vector field Vector space Verma module Volume form X-ray transform |
ISBN | 1-4008-8241-9 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Contents -- Foreword -- Part I. A relativistic approach to Zoll phenomena -- Part II. The general theory of Zollfrei deformations -- Part III. Zollfrei deformations of M2,1 -- Part IV. The generalized x-ray transform -- Part V. The Floquet theory -- Bibliography |
Record Nr. | UNINA-9910154746903321 |
Guillemin Victor | ||
Princeton, NJ : , : Princeton University Press, , [2016] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Elliptic partial differential equations and quasiconformal mappings in the plane [[electronic resource] /] / Kari Astala, Tadeusz Iwaniec, and Gaven Martin |
Autore | Astala Kari <1953-> |
Edizione | [Course Book] |
Pubbl/distr/stampa | Princeton, : Princeton University Press, c2009 |
Descrizione fisica | 1 online resource (696 p.) |
Disciplina | 515/.93 |
Altri autori (Persone) |
IwaniecTadeusz
MartinGaven |
Collana | Princeton mathematical series |
Soggetto topico |
Differential equations, Elliptic
Quasiconformal mappings |
Soggetto non controllato |
Adjoint equation
Analytic function Analytic proof Banach space Beltrami equation Boundary value problem Bounded mean oscillation Calculus of variations Cantor function Cartesian product Cauchy–Riemann equations Central limit theorem Characterization (mathematics) Complex analysis Complex plane Conformal geometry Conformal map Conjugate variables Continuous function (set theory) Coordinate space Degeneracy (mathematics) Differential equation Directional derivative Dirichlet integral Dirichlet problem Disk (mathematics) Distribution (mathematics) Elliptic operator Elliptic partial differential equation Equation Equations of motion Euler–Lagrange equation Explicit formulae (L-function) Factorization Fourier transform Fubini's theorem Geometric function theory Geometric measure theory Geometry Harmonic conjugate Harmonic function Harmonic map Harmonic measure Hilbert transform Holomorphic function Homeomorphism Hyperbolic geometry Hyperbolic trigonometry Invertible matrix Jacobian matrix and determinant Julia set Lagrangian (field theory) Laplace's equation Limit (mathematics) Linear differential equation Linear equation Linear fractional transformation Linear map Linearization Lipschitz continuity Locally integrable function Lusin's theorem Mathematical optimization Mathematics Maxima and minima Maxwell's equations Measure (mathematics) Metric space Mirror symmetry (string theory) Moduli space Modulus of continuity Monodromy theorem Monotonic function Montel's theorem Operator (physics) Operator theory Partial derivative Partial differential equation Poisson formula Polynomial Quadratic function Quasiconformal mapping Quasiconvex function Quasisymmetric function Renormalization Riemann sphere Riemann surface Riemannian geometry Riesz transform Riesz–Thorin theorem Sign (mathematics) Sobolev space Square-integrable function Support (mathematics) Theorem Two-dimensional space Uniformization theorem Upper half-plane Variable (mathematics) Weyl's lemma (Laplace equation) |
ISBN |
1-282-15727-2
9786612157271 1-4008-3011-7 |
Classificazione | SK 560 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Contents -- Preface -- Chapter 1. Introduction -- Chapter 2. A Background In Conformal Geometry -- Chapter 3. The Foundations Of Quasiconformal Mappings -- Chapter 4. Complex Potentials -- Chapter 5. The Measurable Riemann Mapping Theorem: The Existence Theory Of Quasiconformal Mappings -- Chapter 6. Parameterizing General Linear Elliptic Systems -- Chapter 7. The Concept Of Ellipticity -- Chapter 8. Solving General Nonlinear First-Order Elliptic Systems -- Chapter 9. Nonlinear Riemann Mapping Theorems -- Chapter 10. Conformal Deformations And Beltrami Systems -- Chapter 11. A Quasilinear Cauchy Problem -- Chapter 12. Holomorphic Motions -- Chapter 13. Higher Integrability -- Chapter 14. Lp-Theory Of Beltrami Operators -- Chapter 15. Schauder Estimates For Beltrami Operators -- Chapter 16. Applications To Partial Differential Equations -- Chapter 17. PDEs Not Of Divergence Type: Pucci'S Conjecture -- Chapter 18. Quasiconformal Methods In Impedance Tomography: Calderón's Problem -- Chapter 19. Integral Estimates For The Jacobian -- Chapter 20. Solving The Beltrami Equation: Degenerate Elliptic Case -- Chapter 21. Aspects Of The Calculus Of Variations -- Appendix: Elements Of Sobolev Theory And Function Spaces -- Basic Notation -- Bibliography -- Index |
Record Nr. | UNINA-9910778138403321 |
Astala Kari <1953-> | ||
Princeton, : Princeton University Press, c2009 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
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Extended abstracts fall 2013 : geometrical analysis / Maria del Mar González, Paul C. Yang editors ; type theory, homotopy theory and univalent foundations / Nicola Gambino, Joachim Kock editors |
Pubbl/distr/stampa | [Cham], : Birkhäuser, : Springer, 2015 |
Descrizione fisica | VI, 110 p. : ill. ; 24 cm |
Soggetto topico |
53Axx - Classical differential geometry [MSC 2020]
55Pxx - Homotopy theory [MSC 2020] |
Soggetto non controllato |
CR-geometry
Conformal geometry Homotopy Type Theory Isoperimetric inequality Univalent Categories Yamabe problem |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Titolo uniforme | |
Record Nr. | UNICAMPANIA-VAN0113689 |
[Cham], : Birkhäuser, : Springer, 2015 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Vanvitelli | ||
|
Extended abstracts fall 2013 : geometrical analysis / Maria del Mar González, Paul C. Yang editors ; type theory, homotopy theory and univalent foundations / Nicola Gambino, Joachim Kock editors |
Pubbl/distr/stampa | [Cham], : Birkhäuser, : Springer, 2015 |
Descrizione fisica | VI, 110 p. : ill. ; 24 cm |
Soggetto topico |
53Axx - Classical differential geometry [MSC 2020]
55Pxx - Homotopy theory [MSC 2020] |
Soggetto non controllato |
CR-geometry
Conformal geometry Homotopy Type Theory Isoperimetric inequality Univalent Categories Yamabe problem |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Titolo uniforme | |
Record Nr. | UNICAMPANIA-VAN00113689 |
[Cham], : Birkhäuser, : Springer, 2015 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Vanvitelli | ||
|