A Quantum Kirwan Map, I: Fredholm Theory

DOI10.1090/memo/1082zbMath1302.53092arXiv0905.4047OpenAlexW4230452699MaRDI QIDQ2925668

Fabian Ziltener

Publication date: 17 October 2014

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0905.4047

zbMATH Keywords

compactificationweighted Sobolev spacesstable mapsymplectic quotientYang-Mills-Higgs functionalKirwan map(equivariant) Gromov-Witten invariants(equivariant) quantum cohomologymorphism of cohomological field theories

Mathematics Subject Classification ID

Momentum maps; symplectic reduction (53D20) Gromov-Witten invariants, quantum cohomology, Frobenius manifolds (53D45)

Related Items

Convergence of Yang-Mills-Higgs fields ⋮ Properness for scaled gauged maps ⋮ Compactness in the adiabatic limit of disk vortices ⋮ The moduli space of twisted holomorphic maps with Lagrangian boundary condition: compactness ⋮ A compactness theorem for \(SO(3)\) anti-self-dual equation with translation symmetry ⋮ Vortices on surfaces with cylindrical ends ⋮ Gluing affine vortices ⋮ Local model for moduli space of affine vortices ⋮ Dynamics of abelian vortices without common zeros in the adiabatic limit ⋮ Gauged Hamiltonian Floer homology I: Definition of the Floer homology groups ⋮ Classification of U(1)-vortices with target ℂN ⋮ Classification of affine vortices ⋮ Quantum Kirwan morphism and Gromov-Witten invariants of quotients. I

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