On a topology property for the moduli space of Kapustin-Witten equations

DOI10.1515/forum-2018-0085zbMath1428.58013arXiv1703.06584OpenAlexW2963800446MaRDI QIDQ2335851

Teng Huang

Publication date: 15 November 2019

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.06584

zbMATH Keywords

gauge theoryVafa-Witten equationsKapustin-Witten equationsstable Higgs bundle

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Connections (general theory) (53C05) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15)

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Cites Work

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• Energy gap for Yang-Mills connections. I: Four-dimensional closed Riemannian manifolds
• Fivebranes and knots
• Self-dual connections on 4-manifolds with indefinite intersection matrix
• Electric-magnetic duality and the geometric Langlands program
• The moduli space of Yang-Mills connections over a Kähler surface is a complex manifold
• A construction of stable bundles on an algebraic surface
• Self-dual Yang-Mills connections on non-self-dual 4-manifolds
• A strong coupling test of \(S\)-duality
• On the singular sets of solutions to the Kapustin-Witten equations and the Vafa-Witten ones on compact Kähler surfaces
• PU(2) monopoles. I: Regularity, Uhlenbeck compactness, and transversality
• A direct method for minimizing the Yang-Mills functional over 4- manifolds
• An application of gauge theory to four dimensional topology
• Geometric aspects of the Kapustin-Witten equations
• Knot invariants from four-dimensional gauge theory
• Stable sheaves with twisted sections and the Vafa-Witten equations on smooth projective surfaces
• Fukaya-Seidel category and gauge theory
• The Self-Duality Equations on a Riemann Surface
• Constructing Variations of Hodge Structure Using Yang-Mills Theory and Applications to Uniformization
• Some boundedness properties of solutions to the Vafa–Witten equations on closed 4-manifolds
• Khovanov Homology And Gauge Theory
• Correction to: ``A lower bound on the solutions of Kapustin-Witten equations