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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 | ||
| ||
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 | ||
| ||
Semiclassical soliton ensembles for the focusing nonlinear Schrodinger equation [[electronic resource] /] / Spyridon Kamvissis, Kenneth D.T-R McLaughlin, Peter D. Miller
| Semiclassical soliton ensembles for the focusing nonlinear Schrodinger equation [[electronic resource] /] / Spyridon Kamvissis, Kenneth D.T-R McLaughlin, Peter D. Miller |
| Autore | Kamvissis Spyridon |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, NJ, : Princeton University Press, c2003 |
| Descrizione fisica | 1 online resource (280 p.) |
| Disciplina | 530.12/4 |
| Altri autori (Persone) |
McLaughlinK. T-R <1969-> (Kenneth T-R)
MillerPeter D <1967-> (Peter David) |
| Collana | Annals of mathematics studies |
| Soggetto topico |
Schrodinger equation
Wave mechanics |
| Soggetto non controllato |
Abelian integral
Analytic continuation Analytic function Ansatz Approximation Asymptote Asymptotic analysis Asymptotic distribution Asymptotic expansion Banach algebra Basis (linear algebra) Boundary (topology) Boundary value problem Bounded operator Calculation Cauchy's integral formula Cauchy's integral theorem Cauchy's theorem (geometry) Cauchy–Riemann equations Change of variables Coefficient Complex plane Cramer's rule Degeneracy (mathematics) Derivative Diagram (category theory) Differentiable function Differential equation Differential operator Dirac equation Disjoint union Divisor Eigenfunction Eigenvalues and eigenvectors Elliptic integral Energy minimization Equation Euler's formula Euler–Lagrange equation Existential quantification Explicit formulae (L-function) Fourier transform Fredholm theory Function (mathematics) Gauge theory Heteroclinic orbit Hilbert transform Identity matrix Implicit function theorem Implicit function Infimum and supremum Initial value problem Integrable system Integral curve Integral equation Inverse problem Jacobian matrix and determinant Kerr effect Laurent series Limit point Line (geometry) Linear equation Linear space (geometry) Logarithmic derivative Lp space Minor (linear algebra) Monotonic function Neumann series Normalization property (abstract rewriting) Numerical integration Ordinary differential equation Orthogonal polynomials Parameter Parametrix Paraxial approximation Parity (mathematics) Partial derivative Partial differential equation Perturbation theory (quantum mechanics) Perturbation theory Pole (complex analysis) Polynomial Probability measure Quadratic differential Quadratic programming Radon–Nikodym theorem Reflection coefficient Riemann surface Simultaneous equations Sobolev space Soliton Special case Taylor series Theorem Theory Trace (linear algebra) Upper half-plane Variational method (quantum mechanics) Variational principle WKB approximation |
| ISBN |
1-299-44345-1
1-4008-3718-9 |
| Classificazione | SI 830 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Figures and Tables -- Preface -- Chapter 1. Introduction and Overview -- Chapter 2. Holomorphic Riemann-Hilbert Problems for Solitons -- Chapter 3. Semiclassical Soliton Ensembles -- Chapter 4. Asymptotic Analysis of the Inverse Problem -- Chapter 5. Direct Construction of the Complex Phase -- Chapter 6. The Genus - Zero Ansatz -- Chapter 7. The Transition to Genus Two -- Chapter 8. Variational Theory of the Complex Phase -- Chapter 9. Conclusion and Outlook -- Appendix A. H¨older Theory of Local Riemann-Hilbert Problems -- Appendix B. Near-Identity Riemann-Hilbert Problems in L2 -- Bibliography -- Index |
| Record Nr. | UNINA-9910791959003321 |
|
Kamvissis Spyridon
|
||
| Princeton, NJ, : Princeton University Press, c2003 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Semiclassical soliton ensembles for the focusing nonlinear Schrodinger equation [[electronic resource] /] / Spyridon Kamvissis, Kenneth D.T-R McLaughlin, Peter D. Miller
| Semiclassical soliton ensembles for the focusing nonlinear Schrodinger equation [[electronic resource] /] / Spyridon Kamvissis, Kenneth D.T-R McLaughlin, Peter D. Miller |
| Autore | Kamvissis Spyridon |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, NJ, : Princeton University Press, c2003 |
| Descrizione fisica | 1 online resource (280 p.) |
| Disciplina | 530.12/4 |
| Altri autori (Persone) |
McLaughlinK. T-R <1969-> (Kenneth T-R)
MillerPeter D <1967-> (Peter David) |
| Collana | Annals of mathematics studies |
| Soggetto topico |
Schrodinger equation
Wave mechanics |
| Soggetto non controllato |
Abelian integral
Analytic continuation Analytic function Ansatz Approximation Asymptote Asymptotic analysis Asymptotic distribution Asymptotic expansion Banach algebra Basis (linear algebra) Boundary (topology) Boundary value problem Bounded operator Calculation Cauchy's integral formula Cauchy's integral theorem Cauchy's theorem (geometry) Cauchy–Riemann equations Change of variables Coefficient Complex plane Cramer's rule Degeneracy (mathematics) Derivative Diagram (category theory) Differentiable function Differential equation Differential operator Dirac equation Disjoint union Divisor Eigenfunction Eigenvalues and eigenvectors Elliptic integral Energy minimization Equation Euler's formula Euler–Lagrange equation Existential quantification Explicit formulae (L-function) Fourier transform Fredholm theory Function (mathematics) Gauge theory Heteroclinic orbit Hilbert transform Identity matrix Implicit function theorem Implicit function Infimum and supremum Initial value problem Integrable system Integral curve Integral equation Inverse problem Jacobian matrix and determinant Kerr effect Laurent series Limit point Line (geometry) Linear equation Linear space (geometry) Logarithmic derivative Lp space Minor (linear algebra) Monotonic function Neumann series Normalization property (abstract rewriting) Numerical integration Ordinary differential equation Orthogonal polynomials Parameter Parametrix Paraxial approximation Parity (mathematics) Partial derivative Partial differential equation Perturbation theory (quantum mechanics) Perturbation theory Pole (complex analysis) Polynomial Probability measure Quadratic differential Quadratic programming Radon–Nikodym theorem Reflection coefficient Riemann surface Simultaneous equations Sobolev space Soliton Special case Taylor series Theorem Theory Trace (linear algebra) Upper half-plane Variational method (quantum mechanics) Variational principle WKB approximation |
| ISBN |
1-299-44345-1
1-4008-3718-9 |
| Classificazione | SI 830 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Figures and Tables -- Preface -- Chapter 1. Introduction and Overview -- Chapter 2. Holomorphic Riemann-Hilbert Problems for Solitons -- Chapter 3. Semiclassical Soliton Ensembles -- Chapter 4. Asymptotic Analysis of the Inverse Problem -- Chapter 5. Direct Construction of the Complex Phase -- Chapter 6. The Genus - Zero Ansatz -- Chapter 7. The Transition to Genus Two -- Chapter 8. Variational Theory of the Complex Phase -- Chapter 9. Conclusion and Outlook -- Appendix A. H¨older Theory of Local Riemann-Hilbert Problems -- Appendix B. Near-Identity Riemann-Hilbert Problems in L2 -- Bibliography -- Index |
| Record Nr. | UNINA-9910822848003321 |
|
Kamvissis Spyridon
|
||
| Princeton, NJ, : Princeton University Press, c2003 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Symmetries in Quantum Mechanics and Statistical Physics
| Symmetries in Quantum Mechanics and Statistical Physics |
| Autore | Junker Georg |
| Pubbl/distr/stampa | Basel, Switzerland, : MDPI - Multidisciplinary Digital Publishing Institute, 2021 |
| Descrizione fisica | 1 electronic resource (146 p.) |
| Soggetto topico |
Research & information: general
Technology: general issues |
| Soggetto non controllato |
non-Hermitian quantum dynamics
unitary vicinity of exceptional points degenerate perturbation theory Hilbert-space geometry near EPs relativistic wave equation Klein-Gordon equation Dirac equation Proca equation supersymmetry quantum mechanics shape invariance curved space position-dependent mass supersymmetric quantum mechanics self-adjoint extensions infinite square well contact potentials power-law duality classical and quantum mechanics semiclassical quantization quark confinement spreading wave function scattering localization Klein-Gordon oscillator Green's function semiclassical theories and applications classical general relativity |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910557313403321 |
|
Junker Georg
|
||
| Basel, Switzerland, : MDPI - Multidisciplinary Digital Publishing Institute, 2021 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||