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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