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 | ||
|