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Differential Geometry and Lie Groups : A Second Course / Jean Gallier, Jocelyn Quaintance
Differential Geometry and Lie Groups : A Second Course / Jean Gallier, Jocelyn Quaintance
Autore Gallier, Jean
Pubbl/distr/stampa Cham, : Springer, 2020
Descrizione fisica xiv, 620 p. : ill. ; 24 cm
Altri autori (Persone) Quaintance, Jocelyn
Soggetto topico 53-XX - Differential geometry [MSC 2020]
22-XX - Topological groups, Lie groups [MSC 2020]
15A66 - Clifford algebras, spinors [MSC 2020]
58C35 - Integration on manifolds; measures on manifolds [MSC 2020]
58A10 - Differential forms in global analysis [MSC 2020]
55R10 - Fiber bundles in algebraic topology [MSC 2020]
33C55 - Spherical harmonics [MSC 2020]
Soggetto non controllato Clifford algebras
Clifford groups
Curvature form
Differential Forms
Differential geometry
Frobenius theorem
Pin group
Pinor and Spinor groups
Riemannian manifolds
Spherical Harmonics
Spin group
Stokes’ theorem
Tensor algebra
Tensor products
Vector bundles
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Titolo uniforme
Record Nr. UNICAMPANIA-VAN0249004
Gallier, Jean  
Cham, : Springer, 2020
Materiale a stampa
Lo trovi qui: Univ. Vanvitelli
Opac: Controlla la disponibilità qui
The Equidistribution Theory of Holomorphic Curves. (AM-64), Volume 64 / / Hung-his Wu
The Equidistribution Theory of Holomorphic Curves. (AM-64), Volume 64 / / Hung-his Wu
Autore Wu Hung-his
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (252 pages) : illustrations
Disciplina 517.5
Collana Annals of Mathematics Studies
Soggetto topico Value distribution theory
Analytic functions
Functions, Meromorphic
Soggetto non controllato Addition
Algebraic curve
Algebraic number
Atlas (topology)
Binomial coefficient
Cauchy–Riemann equations
Compact Riemann surface
Compact space
Complex manifold
Complex projective space
Computation
Continuous function (set theory)
Covariant derivative
Critical value
Curvature form
Diagram (category theory)
Differential form
Differential geometry of surfaces
Differential geometry
Dimension
Divisor
Essential singularity
Euler characteristic
Existential quantification
Fiber bundle
Gaussian curvature
Geodesic curvature
Geometry
Grassmannian
Harmonic function
Hermann Weyl
Hermitian manifold
Holomorphic function
Homology (mathematics)
Hyperbolic manifold
Hyperplane
Hypersurface
Improper integral
Intersection number (graph theory)
Isometry
Line integral
Manifold
Meromorphic function
Minimal surface
Nevanlinna theory
One-form
Open problem
Open set
Orthogonal complement
Parameter
Picard theorem
Product metric
Q.E.D.
Remainder
Riemann sphere
Riemann surface
Smoothness
Special case
Submanifold
Subset
Tangent space
Tangent
Theorem
Three-dimensional space (mathematics)
Unit circle
Unit vector
Vector field
Volume element
Volume form
ISBN 1-4008-8190-0
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- PREFACE -- INTRODUCTION -- CONTENTS -- Chapter I. Generalities on projective spaces and Grassmannians -- Chapter II. Nevanlinna theory of meromorphic functions -- Chapter III. Elementary properties of holomorphic curves -- Chapter IV. The two main theorems for holomorphic curves -- Chapter V. The defect relations -- References -- Index of principal definitions
Record Nr. UNINA-9910154750103321
Wu Hung-his  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
The Seiberg-Witten equations and applications to the topology of smooth four-manifolds / / John W. Morgan
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
Opac: Controlla la disponibilità qui
The Seiberg-Witten equations and applications to the topology of smooth four-manifolds / / John W. Morgan
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
Opac: Controlla la disponibilità qui
The Spectral Theory of Toeplitz Operators. (AM-99), Volume 99 / / L. Boutet de Monvel, Victor Guillemin
The Spectral Theory of Toeplitz Operators. (AM-99), Volume 99 / / L. Boutet de Monvel, Victor Guillemin
Autore Boutet de Monvel L.
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (168 pages)
Disciplina 515.7/246
Collana Annals of Mathematics Studies
Soggetto topico Toeplitz operators
Spectral theory (Mathematics)
Soggetto non controllato Algebraic variety
Asymptotic analysis
Asymptotic expansion
Big O notation
Boundary value problem
Change of variables
Chern class
Codimension
Cohomology
Compact group
Complex manifold
Complex vector bundle
Connection form
Contact geometry
Corollary
Cotangent bundle
Curvature form
Diffeomorphism
Differentiable manifold
Dimensional analysis
Discrete spectrum
Eigenvalues and eigenvectors
Elaboration
Elliptic operator
Embedding
Equivalence class
Existential quantification
Exterior (topology)
Fourier integral operator
Fourier transform
Hamiltonian vector field
Holomorphic function
Homogeneous function
Hypoelliptic operator
Integer
Integral curve
Integral transform
Invariant subspace
Lagrangian (field theory)
Lagrangian
Limit point
Line bundle
Linear map
Mathematics
Metaplectic group
Natural number
Normal space
One-form
Open set
Operator (physics)
Oscillatory integral
Parallel transport
Parameter
Parametrix
Periodic function
Polynomial
Projection (linear algebra)
Projective variety
Pseudo-differential operator
Q.E.D.
Quadratic form
Quantity
Quotient ring
Real number
Scientific notation
Self-adjoint
Smoothness
Spectral theorem
Spectral theory
Square root
Submanifold
Summation
Support (mathematics)
Symplectic geometry
Symplectic group
Symplectic manifold
Symplectic vector space
Tangent space
Theorem
Todd class
Toeplitz algebra
Toeplitz matrix
Toeplitz operator
Trace formula
Transversal (geometry)
Trigonometric functions
Variable (mathematics)
Vector bundle
Vector field
Vector space
Volume form
Wave front set
ISBN 1-4008-8144-7
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- TABLE OF CONTENTS -- §1. Introduction -- §2. GENERALIZED TOEPLITZ OPERATORS -- §3. FOURIER INTEGRAL OPERATORS OF HERMITE TYPE -- §4. THE METAPLECTIC REPRESENTATION -- §5. METALINEAR AND METAPLECTIC STRUCTURES ON MANIFOLDS -- §6. ISOTROPIC SUBSPACES OF SYMPLECTIC VECTOR SPACES -- §7. THE COMPOSITION THEOREM -- §8. THE PROOF OF THEOREM 7.5 -- §9. PULL-BACKS, PUSH-FORWARDS AND EXTERIOR TENSOR PRODUCTS -- §10. THE TRANSPORT EQUATION -- §11. SYMBOLIC PROPERTIES OF TOEPLITZ OPERATORS -- §12. THE TRACE FORMULA -- §13. SPECTRAL PROPERTIES OF TOEPLITZ OPERATORS -- §14. THE HILBERT POLYNOMIAL -- §15. SOME CONCLUDING REMARKS -- BIBLIOGRAPHY -- APPENDIX: QUANTIZED CONTACT STRUCTURES -- Backmatter
Record Nr. UNINA-9910154743403321
Boutet de Monvel L.  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui