The Kapustin-Witten equations on ALE and ALF gravitational instantons

DOI10.1007/s11005-021-01426-wzbMath1473.53045arXiv1906.05435OpenAlexW3174812879MaRDI QIDQ2044431

Ákos Nagy, Goncalo Oliveira

Publication date: 9 August 2021

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.05435

zbMATH Keywords

gravitational instantonscomplex monopolesKapustin-Witten equation

Mathematics Subject Classification ID

Moduli problems for differential geometric structures (58D27) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Yang-Mills and other gauge theories in mechanics of particles and systems (70S15) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15)

Cites Work

• Unnamed Item
• Electric-magnetic duality and the geometric Langlands program
• On the parabolic kernel of the Schrödinger operator
• The construction of ALE spaces as hyper-Kähler quotients
• More on gauge theory and geometric Langlands
• Green's functions, harmonic functions, and volume comparison
• Geometric aspects of the Kapustin-Witten equations
• The Haydys monopole equation
• The KW equations and the Nahm pole boundary condition with knots
• The extended Bogomolny equations and generalized Nahm pole boundary condition
• Hecke modifications of Higgs bundles and the extended Bogomolny equation
• The Nahm Pole Boundary Condition
• Differential equations on riemannian manifolds and their geometric applications
• Khovanov Homology And Gauge Theory
• Removable singularities in Yang-Mills fields