Combinatorics of Train Tracks. (AM-125), Volume 125 / / R. C. Penner, John L. Harer |
Autore | Penner R. C. |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (233 pages) : illustrations |
Disciplina | 511/.6 |
Collana | Annals of Mathematics Studies |
Soggetto topico |
Geodesics (Mathematics)
CW complexes Combinatorial analysis |
Soggetto non controllato |
Ambient isotopy
Analytic function Axiom Brouwer fixed-point theorem CW complex Cantor set Cardinality Change of basis Coefficient Combinatorics Compactification (mathematics) Conjugacy class Connected component (graph theory) Connectivity (graph theory) Coordinate system Cotangent space Covering space Deformation theory Dehn twist Diffeomorphism Differential topology Disjoint sets Disjoint union Disk (mathematics) Eigenvalues and eigenvectors Embedding Equation Equivalence class (music) Equivalence class Equivalence relation Euclidean space Euler characteristic Explicit formula Explicit formulae (L-function) Fiber bundle Foliation Fuchsian group Geodesic curvature Geometry Harmonic function Homeomorphism Homotopy Horocycle Hyperbolic geometry Hyperbolic motion Hyperbolic space Incidence matrix Inequality (mathematics) Infimum and supremum Injective function Intersection (set theory) Intersection number (graph theory) Intersection number Interval (mathematics) Invariance of domain Invariant measure Jordan curve theorem Kähler manifold Lexicographical order Linear map Linear subspace Mapping class group Mathematical induction Monogon Natural topology Orientability Pair of pants (mathematics) Parallel curve Parametrization Parity (mathematics) Projective space Quadratic differential Scientific notation Sign (mathematics) Special case Spectral radius Standard basis Subsequence Subset Summation Support (mathematics) Symplectic geometry Symplectomorphism Tangent space Tangent vector Tangent Teichmüller space Theorem Topological space Topology Total order Train track (mathematics) Transitive relation Transpose Transversality (mathematics) Transverse measure Uniformization theorem Unit tangent bundle Unit vector Vector field |
ISBN | 1-4008-8245-1 |
Classificazione | SI 830 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Contents -- Preface -- Acknowledgements -- Chapter 1. The Basic Theor -- Chapter 2. Combinatorial Equivalence -- Chapter 3. The Structure of ML0 -- Epilogue -- Addendum. The Action of Mapping Classes on ML0 -- Bibliography |
Record Nr. | UNINA-9910154745603321 |
Penner R. C. | ||
Princeton, NJ : , : Princeton University Press, , [2016] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
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Curvature and Betti Numbers. (AM-32), Volume 32 / / Kentaro Yano, Salomon Trust |
Autore | Trust Salomon |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (205 pages) |
Disciplina |
513.7
516.7* |
Collana | Annals of Mathematics Studies |
Soggetto topico |
Curvature
Geometry, Differential |
Soggetto non controllato |
Abelian integral
Affine connection Algebraic operation Almost periodic function Analytic function Arc length Betti number Coefficient Compact space Complex analysis Complex conjugate Complex dimension Complex manifold Conservative vector field Constant curvature Constant function Continuous function Convex set Coordinate system Covariance and contravariance of vectors Covariant derivative Curvature Derivative Differential form Differential geometry Dimension (vector space) Dimension Einstein manifold Equation Euclidean domain Euclidean geometry Euclidean space Existential quantification Geometry Hausdorff space Hypersphere Killing vector field Kähler manifold Lie group Manifold Metric tensor (general relativity) Metric tensor Mixed tensor One-parameter group Orientability Partial derivative Periodic function Permutation Quantity Ricci curvature Riemannian manifold Scalar (physics) Sectional curvature Self-adjoint Special case Subset Summation Symmetric tensor Symmetrization Tensor algebra Tensor calculus Tensor field Tensor Theorem Torsion tensor Two-dimensional space Uniform convergence Uniform space Unit circle Unit sphere Unit vector Vector field |
ISBN | 1-4008-8220-6 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Preface -- Contents -- Chapter I. Riemannian Manifold -- Chapter II. Harmonic and Killing Vectors -- Chapter III. Harmonic and Killing Tensors -- Chapter IV. Harmonic and Killing Tensors in Flat Manifolds -- Chapter V. Deviation from Flatness -- Chapter VI. Semi-simple Group Spaces -- Chapter VII. Pseudo-harmonic Tensors and Pseudo-Killing Tensors in Metric Manifolds with Torsion -- Chapter VIII. Kaehler Manifold -- Chapter IX. Supplements / Bochner, S. -- Bibliography -- Backmatter |
Record Nr. | UNINA-9910154748603321 |
Trust Salomon | ||
Princeton, NJ : , : Princeton University Press, , [2016] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Entire Holomorphic Mappings in One and Several Complex Variables. (AM-85), Volume 85 / / Phillip A. Griffiths |
Autore | Griffiths Phillip A. |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (112 pages) : illustrations |
Disciplina | 515/.9 |
Collana | Annals of Mathematics Studies |
Soggetto topico | Holomorphic mappings |
Soggetto non controllato |
Algebraic variety
Analytic function Analytic set Armand Borel Big O notation Canonical bundle Cartesian coordinate system Characteristic function (probability theory) Characterization (mathematics) Chern class Compact Riemann surface Compact space Complex analysis Complex manifold Complex projective space Corollary Counting Curvature Degeneracy (mathematics) Derivative Differential form Dimension Divisor Elementary proof Entire function Equation Exponential growth Gaussian curvature Hermann Weyl Hodge theory Holomorphic function Hyperplane Hypersurface Infinite product Integral geometry Invariant measure Inverse problem Jacobian matrix and determinant Kähler manifold Line bundle Linear equation Logarithmic derivative Manifold Meromorphic function Modular form Monograph Nevanlinna theory Nonlinear system Phillip Griffiths Picard theorem Polynomial Projective space Q.E.D. Quantity Ricci curvature Riemann sphere Scientific notation Several complex variables Special case Stokes' theorem Subset Summation Theorem Theory Uniformization theorem Unit square Volume form |
ISBN | 1-4008-8148-X |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- TABLE OF CONTENTS -- INDEX OF NOTATIONS -- INTRODUCTION -- CHAPTER 1. ORDERS OF GROWTH -- CHAPTER 2. THE APPEARANCE OF CURVATURE -- CHAPTER 3. THE DEFECT RELATIONS -- BIBLIOGRAPHY -- Backmatter |
Record Nr. | UNINA-9910154753903321 |
Griffiths Phillip A. | ||
Princeton, NJ : , : Princeton University Press, , [2016] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Riemann Surfaces Related Topics (AM-97), Volume 97 : Proceedings of the 1978 Stony Brook Conference. (AM-97) / / Bernard Maskit, Irwin Kra |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (533 pages) : illustrations |
Disciplina | 515/.223 |
Collana | Annals of Mathematics Studies |
Soggetto topico | Riemann surfaces |
Soggetto non controllato |
Abstract simplicial complex
Affine transformation Algebraic curve Algebraic element Algebraic equation Algebraic surface Analytic function Analytic torsion Automorphic form Automorphic function Automorphism Banach space Basis (linear algebra) Boundary (topology) Bounded set (topological vector space) Cohomology ring Cohomology Commutative property Commutator subgroup Compact Riemann surface Complex analysis Complex manifold Conformal geometry Conformal map Conjugacy class Covering space Diagram (category theory) Dimension (vector space) Divisor (algebraic geometry) Divisor Eigenvalues and eigenvectors Equivalence class Equivalence relation Ergodic theory Existential quantification Foliation Fuchsian group Fundamental domain Fundamental group Fundamental polygon Geodesic Geometric function theory Group homomorphism H-cobordism Hausdorff measure Holomorphic function Homeomorphism Homomorphism Homotopy Hyperbolic 3-manifold Hyperbolic manifold Hyperbolic space Infimum and supremum Injective module Interior (topology) Intersection form (4-manifold) Isometry Isomorphism class Jordan curve theorem Kleinian group Kähler manifold Limit point Limit set Manifold Meromorphic function Metric space Mostow rigidity theorem Möbius transformation Poincaré conjecture Pole (complex analysis) Polynomial Product topology Projective variety Quadratic differential Quasi-isometry Quasiconformal mapping Quotient space (topology) Radon–Nikodym theorem Ricci curvature Riemann mapping theorem Riemann sphere Riemann surface Riemannian geometry Riemannian manifold Schwarzian derivative Strictly convex space Subgroup Submanifold Surjective function Tangent space Teichmüller space Theorem Topological conjugacy Topological space Topology Uniformization theorem Uniformization Uniqueness theorem Unit disk Vector bundle |
ISBN | 1-4008-8155-2 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Contents -- Preface -- A Geometric Property of Bers' Embedding of The Teichmuller Space / Abikoff, William -- Plane Models for Riemann Surf Aces Admitting Certain Half-Canonical Linear Series, Part I / Accola, Robert D. M. -- Nontriviality of Teichmuller Space for Kleinian Group in Space / Apanasov, B. N. -- The Action of The Modular Group on The Complex Boundary / Bers, Lipman -- Some Remarks on Bounded Cohomology / Brooks, Robert -- The Dynamics of 2-Generator Subgroups of PSL(2, ℂ) / Brooks, Robert / Matelski, J. Peter -- Minimal Geodesics on Fricke's Torus-Covering / Cohn, Harvey -- On Variation of Projective Structures / Earle, Clifford J. -- Vanishing Theta Constants / Farkas, Hershel M. -- Analytic Torsion and Prym Differentials / Fay, John -- On a Notion of Quasiconformal Rigidity for Riemann Surf Aces / Gardiner, Frederick P. -- Spirals and The Universal Teichmuller Space / Gehring, F. W. -- Intersection Matrices for Bases Adapted to Automorphisms of a Compact Riemann Surface / Gilman, Jane / Patterson, David -- Homomorphisms of Triangle Groups Into PSL(2, ℂ) / Greenberg, Leon -- Hyperbolic Manifolds, Groups and Actions / Gromov, M. -- Automorphisms of Compact Riemann Surfaces and Weierstrass Points / Guerrero, Ignacio -- Affine and Projective Structures on Riemann Surf Aces / Gunning, R. C. -- Boundary Structure of The Modular Group / Harvey, W. J. -- A Realization Problem in The Theory of Analytic Curves / Heins, Maurice -- The Monodromy of Projective Structures / Hubbard, John H. -- Holomorphic Families of Riemann Surf Aces and Teichmoller Spaces / Imayoshi, Yoichi -- Commutators in SL(2, ℂ) / Jørgensen, Troels -- Two Examples of Covering Surf Aces / Jørgensen, T. / Marden, A. / Pommerenke, C. -- Deformations of Symmetric Products / Kempf, George R. -- Remarks on Projective Structures / Kra, Irwin / Maskit, Bernard -- Some Remarks on Kleinian Groups / Krushkal, S. L. -- Remarks on Web Groups / Kuroda, Tadashi / Mori, Seiki / Takahashi, Hidenori -- Remarks on Fuchsian Groups Associated with Open Riemann Surfaces / Kusunoki, Yukio / Taniguchi, Masahiko -- On Generalized Weierstrass Points and Rings with No Prime Elements / Laufer, Henry B. -- The Topology of Analytic Surfaces: Decompositions of Elliptic Surfaces / Mandelbaum, Richard -- Dense Geodesics in Moduli Space / Masur, Howard -- Automorphismen Ebener Diskontinuierlicher Gruppen / Rosenberger, Gerhard -- Remarks on The Geometry of The Siegel Modular Group / Sibner, Robert J. -- On The Ergodic Theory at Infinity of an Arbitrary Discrete Group of Hyperbolic Motions / Sullivan, Dennis -- On Infinite Nielsen Kernels / Wason, Judith C. -- Hyperbolic 3-Manifolds which share a Fundamental Polyhedron / Wielenberg, Norbert J. -- The Length Spectrum as Moduli for Compact Riemann Surfaces / Wolpert, Scott -- Backmatter |
Record Nr. | UNINA-9910154746303321 |
Princeton, NJ : , : Princeton University Press, , [2016] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
The Seiberg-Witten equations and applications to the topology of smooth four-manifolds / / John W. Morgan |
Autore | Morgan John W. <1946-> |
Pubbl/distr/stampa | Princeton, New Jersey : , : Princeton University Press, , 1996 |
Descrizione fisica | 1 online resource (138 p.) |
Disciplina | 514/.2 |
Collana | Mathematical Notes |
Soggetto topico |
Four-manifolds (Topology)
Seiberg-Witten invariants Mathematical physics |
Soggetto non controllato |
Affine space
Affine transformation Algebra bundle Algebraic surface Almost complex manifold Automorphism Banach space Clifford algebra Cohomology Cokernel Complex dimension Complex manifold Complex plane Complex projective space Complex vector bundle Complexification (Lie group) Computation Configuration space Conjugate transpose Covariant derivative Curvature form Curvature Differentiable manifold Differential topology Dimension (vector space) Dirac equation Dirac operator Division algebra Donaldson theory Duality (mathematics) Eigenvalues and eigenvectors Elliptic operator Elliptic surface Equation Fiber bundle Frenet–Serret formulas Gauge fixing Gauge theory Gaussian curvature Geometry Group homomorphism Hilbert space Hodge index theorem Homology (mathematics) Homotopy Identity (mathematics) Implicit function theorem Intersection form (4-manifold) Inverse function theorem Isomorphism class K3 surface Kähler manifold Levi-Civita connection Lie algebra Line bundle Linear map Linear space (geometry) Linearization Manifold Mathematical induction Moduli space Multiplication theorem Neighbourhood (mathematics) One-form Open set Orientability Orthonormal basis Parameter space Parametric equation Parity (mathematics) Partial derivative Principal bundle Projection (linear algebra) Pullback (category theory) Quadratic form Quaternion algebra Quotient space (topology) Riemann surface Riemannian manifold Sard's theorem Sign (mathematics) Sobolev space Spin group Spin representation Spin structure Spinor field Subgroup Submanifold Surjective function Symplectic geometry Symplectic manifold Tangent bundle Tangent space Tensor product Theorem Three-dimensional space (mathematics) Trace (linear algebra) Transversality (mathematics) Two-form Zariski tangent space |
ISBN | 1-4008-6516-6 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Front matter -- Contents -- 1. Introduction -- 2. Clifford Algebras and Spin Groups -- 3. Spin Bundles and the Dirac Operator -- 4. The Seiberg-Witten Moduli Space -- 5. Curvature Identities and Bounds -- 6. The Seiberg-Witten Invariant -- 7. Invariants of Kahler Surfaces -- Bibliography |
Record Nr. | UNINA-9910786749103321 |
Morgan John W. <1946-> | ||
Princeton, New Jersey : , : Princeton University Press, , 1996 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
The Seiberg-Witten equations and applications to the topology of smooth four-manifolds / / John W. Morgan |
Autore | Morgan John W. <1946-> |
Pubbl/distr/stampa | Princeton, New Jersey : , : Princeton University Press, , 1996 |
Descrizione fisica | 1 online resource (138 p.) |
Disciplina | 514/.2 |
Collana | Mathematical Notes |
Soggetto topico |
Four-manifolds (Topology)
Seiberg-Witten invariants Mathematical physics |
Soggetto non controllato |
Affine space
Affine transformation Algebra bundle Algebraic surface Almost complex manifold Automorphism Banach space Clifford algebra Cohomology Cokernel Complex dimension Complex manifold Complex plane Complex projective space Complex vector bundle Complexification (Lie group) Computation Configuration space Conjugate transpose Covariant derivative Curvature form Curvature Differentiable manifold Differential topology Dimension (vector space) Dirac equation Dirac operator Division algebra Donaldson theory Duality (mathematics) Eigenvalues and eigenvectors Elliptic operator Elliptic surface Equation Fiber bundle Frenet–Serret formulas Gauge fixing Gauge theory Gaussian curvature Geometry Group homomorphism Hilbert space Hodge index theorem Homology (mathematics) Homotopy Identity (mathematics) Implicit function theorem Intersection form (4-manifold) Inverse function theorem Isomorphism class K3 surface Kähler manifold Levi-Civita connection Lie algebra Line bundle Linear map Linear space (geometry) Linearization Manifold Mathematical induction Moduli space Multiplication theorem Neighbourhood (mathematics) One-form Open set Orientability Orthonormal basis Parameter space Parametric equation Parity (mathematics) Partial derivative Principal bundle Projection (linear algebra) Pullback (category theory) Quadratic form Quaternion algebra Quotient space (topology) Riemann surface Riemannian manifold Sard's theorem Sign (mathematics) Sobolev space Spin group Spin representation Spin structure Spinor field Subgroup Submanifold Surjective function Symplectic geometry Symplectic manifold Tangent bundle Tangent space Tensor product Theorem Three-dimensional space (mathematics) Trace (linear algebra) Transversality (mathematics) Two-form Zariski tangent space |
ISBN | 1-4008-6516-6 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Front matter -- Contents -- 1. Introduction -- 2. Clifford Algebras and Spin Groups -- 3. Spin Bundles and the Dirac Operator -- 4. The Seiberg-Witten Moduli Space -- 5. Curvature Identities and Bounds -- 6. The Seiberg-Witten Invariant -- 7. Invariants of Kahler Surfaces -- Bibliography |
Record Nr. | UNINA-9910828604403321 |
Morgan John W. <1946-> | ||
Princeton, New Jersey : , : Princeton University Press, , 1996 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Topics in Transcendental Algebraic Geometry. (AM-106), Volume 106 / / Phillip A. Griffiths |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (328 pages) : illustrations |
Disciplina | 512/.33 |
Collana | Annals of Mathematics Studies |
Soggetto topico |
Geometry, Algebraic
Hodge theory Torelli theorem |
Soggetto non controllato |
Abelian integral
Algebraic curve Algebraic cycle Algebraic equation Algebraic geometry Algebraic integer Algebraic structure Algebraic surface Arithmetic genus Arithmetic group Asymptotic analysis Automorphism Base change Bilinear form Bilinear map Cohomology Combinatorics Commutative diagram Compactification (mathematics) Complete intersection Complex manifold Complex number Computation Deformation theory Degeneracy (mathematics) Differentiable manifold Dimension (vector space) Divisor (algebraic geometry) Divisor Elliptic curve Elliptic surface Equation Exact sequence Fiber bundle Function (mathematics) Fundamental class Geometric genus Geometry Hermitian symmetric space Hodge structure Hodge theory Homology (mathematics) Homomorphism Homotopy Hypersurface Intersection form (4-manifold) Intersection number Irreducibility (mathematics) Isomorphism class Jacobian variety K3 surface Kodaira dimension Kronecker's theorem Kummer surface Kähler manifold Lie algebra bundle Lie algebra Linear algebra Linear algebraic group Line–line intersection Mathematical induction Mathematical proof Mathematics Modular arithmetic Module (mathematics) Moduli space Monodromy matrix Monodromy theorem Monodromy Nilpotent orbit Normal function Open set Period mapping Permutation group Phillip Griffiths Point at infinity Pole (complex analysis) Polynomial Projective space Pullback (category theory) Quadric Regular singular point Resolution of singularities Riemann–Roch theorem for surfaces Scientific notation Set (mathematics) Special case Spectral sequence Subgroup Submanifold Surface of general type Surjective function Tangent bundle Theorem Topology Torelli theorem Transcendental number Vector space Zariski topology Zariski's main theorem |
ISBN | 1-4008-8165-X |
Classificazione | SK 240 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Table of Contents -- INTRODUCTION / Griffiths, Phillip -- Chapter I. VARIATION OF HODGE STRUCTURE / Griffiths, Phillip / Tu, Loring -- Chapter II. CURVATURE PROPERTIES OF THE HODGE BUNDLES / Griffiths, Phillip / Tu, Loring -- Chapter III. INFINITESIMAL VARIATION OF HODGE STRUCTURE / Griffiths, Phillip / Tu, Loring -- Chapter IV. ASYMPTOTIC BEHAVIOR OF A VARIATION OF HODGE STRUCTURE / Griffiths, Phillip / Tu, Loring -- Chapter V. MIXED HODGE STRUCTURES, COMPACTIFICATIONS AND MONODROMY WEIGHT FILTRATION / Cattani, Eduardo H. -- Chapter VI. THE CLEMENS-SCHMID EXACT SEQUENCE AND APPLICATIONS / Morrison, David R. -- Chapter VII DEGENERATION OF HODGE BUNDLES (AFTER STEENBRINK) / Zucker, Steven -- Chapter VIII. INFINITESIMAL TORELLI THEOREMS AND COUNTEREXAMPLES TO TORELLI PROBLEMS / Catanese, Fabrizio M.E. -- Chapter IX. THE TORELLI PROBLEM FOR ELLIPTIC PENCILS / Chakiris, Ken -- Chapter X. THE PERIOD MAP AT THE BOUNDARY OF MODULI / Friedman, Robert -- Chapter XI. THE GENERIC TORELLI PROBLEM FOR PRYM VARIETIES AND INTERSECTIONS OF THREE QUADRICS / Smith, Roy -- Chapter XII. INFINITESIMAL VARIATION OF HODGE STRUCTURE AND THE GENERIC GLOBAL TORELLI THEOREM / Griffiths, Phillip / Tu, Loring -- Chapter XIII. GENERIC TORELLI AND VARIATIONAL SCHOTTKY / Donagi, Ron -- Chapter XIV. INTERMEDIATE JACOBIANS AND NORMAL FUNCTIONS / Zucker, Steven -- Chapter XV. EXTENDABILITY OF NORMAL FUNCTIONS ASSOCIATED TO ALGEBRAIC CYCLES / Zein, Fouad El / Zucker, Steven -- Chapter XVI. SOME RESULTS ABOUT ABEL-JACOBI MAPPINGS / Clemens, Herbert -- Chapter XVII. INFINITESIMAL INVARIANT OF NORMAL FUNCTIONS / Griffiths, Phillip -- Backmatter |
Record Nr. | UNINA-9910154742603321 |
Princeton, NJ : , : Princeton University Press, , [2016] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|