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

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