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arXiv · 1506.03349

Gauged Floer homology and spectral invariants

Weiwei Wu·Guangbo Xu
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Abstract

We define a version of spectral invariant in the vortex Floer theory for a $G$-Hamiltonian manifold $M$. This defines potentially new (partial) symplectic quasi-morphism and quasi-states when $M//G$ is not semi-positive. We also establish a relation between vortex Hamiltonian Floer homology and Woodward's quasimap Floer homology by constructing a closed-open string map between them. This yields applications to study non-displaceability problems of subsets in $M//G$

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Weiwei Wu, Guangbo Xu. 2015-06-10. Gauged Floer homology and spectral invariants. https://doi.org/10.1093/imrn%2Frnx005

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