On two geometric problems arising in mathematical physics
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Publication:1708287
DOI10.1007/s10958-017-3385-5zbMath1386.81104OpenAlexW2613101700MaRDI QIDQ1708287
Publication date: 5 April 2018
Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10958-017-3385-5
Spinor and twistor methods applied to problems in quantum theory (81R25) Applications of global analysis to structures on manifolds (57R57) Geometry and quantization, symplectic methods (81S10) Geometric quantization (53D50) Ginzburg-Landau equations (35Q56)
Cites Work
- Justification of the adiabatic principle for hyperbolic Ginzburg-Landau equations
- Kähler geometry of loop spaces
- A remark on the scattering of BPS monopoles.
- Kähler structures on K-orbits of the group of diffeomorphisms of the circle
- Kähler geometry of the infinite-dimensional homogeneous space \(M=Diff_+(S^ 1)/Rot(S^ 1)\)
- Geometric quantization and quantum mechanics
- Arbitrary N-vortex solutions to the first order Ginzburg-Landau equations
- \(\text{Gr}\Rightarrow\text{SW}\): from pseudo-holomorphic curves to Seiberg-Witten solutions.
- Monopoles, duality and chiral symmetry breaking in \(N=2\) supersymmetric QCD
- \(\text{GR}=\text{SW}\): counting curves and connections.
- Electric-magnetic duality, monopole condensation, and confinement in \(N=2\) supersymmetric Yang-Mills theory
- The Ricci curvature of Diff S1/SL(2, R)
- Justification of the adiabatic principle in the Abelian Higgs model
- SW ⇒ Gr: From the Seiberg-Witten equations to pseudo-holomorphic curves
- Scattering of vortices in the Abelian Higgs model
- Ginzburg-Landau vortex analogues
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