\(L^2\)-topology and Lagrangians in the space of connections over a Riemann surface

DOI10.1007/s00039-010-0086-3zbMath1205.81105arXiv1005.0731OpenAlexW2149640675MaRDI QIDQ607660

Katrin Wehrheim, Tomasz S. Mrowka

Publication date: 3 December 2010

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1005.0731

zbMATH Keywords

instanton Floer theory for 3-manifolds with boundarylocal slice theoremYang-Mills Floer theoryYang-Mills path integral

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Global differential geometry (53C99) Yang-Mills and other gauge theories in mechanics of particles and systems (70S15) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21) Variational aspects of group actions in infinite-dimensional spaces (58E40)

Related Items (3)

Instanton Floer homology with Lagrangian boundary conditions ⋮ Morse homology for the Yang-Mills gradient flow ⋮ The Yang-Mills gradient flow and loop spaces of compact Lie groups

Cites Work

• Lectures on analysis on metric spaces
• An instanton-invariant for 3-manifolds
• Energy quantization and mean value inequalities for nonlinear boundary value problems
• Instanton Floer homology with Lagrangian boundary conditions
• The symplectic vortex equations and invariants of Hamiltonian group actions
• Anti-self-Dual instantons with Lagrangian boundary conditions. I: Elliptic theory
• Anti-self-dual instantons with Lagrangian boundary conditions. II: Bubbling
• Mappings minimizing theLp norm of the gradient
• The Yang-Mills equations over Riemann surfaces
• BANACH SPACE VALUED CAUCHY–RIEMANN EQUATIONS WITH TOTALLY REAL BOUNDARY CONDITIONS

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