From superconductors and four-manifolds to weak interactions
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Publication:5423969
DOI10.1090/S0273-0979-07-01167-6zbMath1148.81015MaRDI QIDQ5423969
Publication date: 1 November 2007
Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)
Statistical mechanics of superconductors (82D55) Symmetry breaking in quantum theory (81R40) Gromov-Witten invariants, quantum cohomology, Frobenius manifolds (53D45)
Related Items (11)
The Higgs mechanism and superconductivity: A case study of formal analogies ⋮ Nonexistence of small, odd breathers for a class of nonlinear wave equations ⋮ Asymptotic stability for odd perturbations of the stationary kink in the variable-speed 𝜙⁴ model ⋮ Polynomial cubic differentials and convex polygons in the projective plane ⋮ Kink dynamics in the $\phi ^4$ model: Asymptotic stability for odd perturbations in the energy space ⋮ Statics and dynamics of magnetic vortices and of Nielsen–Olesen (Nambu) strings ⋮ Ginzburg-Landau equations on Riemann surfaces of higher genus ⋮ A sufficient condition for asymptotic stability of kinks in general (1+1)-scalar field models ⋮ On asymptotic stability of nonlinear waves ⋮ \(G_2\) holonomy, Taubes' construction of Seiberg-Witten invariants and superconducting vortices ⋮ Taubes’s proof of the Weinstein conjecture in dimension three
Cites Work
- Polynomial invariants for smooth four-manifolds
- Pseudo holomorphic curves in symplectic manifolds
- Arbitrary N-vortex solutions to the first order Ginzburg-Landau equations
- Integration over the \(u\)-plane in Donaldson theory
- Erratum: Electric-magnetic duality, monopole condensation, and confinement in \(N=2\) supersymmetric Yang-Mills theory
- The Seiberg-Witten and Gromov invariants
- Gauge Invariance and Mass
- Plasmons, Gauge Invariance, and Mass
- Electromagnetic and weak interactions
- Theory of Superconductivity
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