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Equivariant Lagrangian
Floer cohomology via semi-global Kuranishi structures
Erkao Bao and Ko Honda |
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Algebraic & Geometric Topology 21 (2021) 1677–1722
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Abstract |
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Using a simplified version of Kuranishi perturbation theory, which we call semi-global Kuranishi structures, we give a definition of the equivariant Lagrangian Floer cohomology of a pair of Lagrangian submanifolds that are fixed under a finite symplectic group action and satisfy certain simplifying assumptions. |
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Keywords
equivariant Lagrangian Floer homology, semi-global
Kuranishi structure, relative spin, coherent orientation,
symplectic structure
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Mathematical Subject Classification 2010
Primary: 57M50
Secondary: 53D10, 53D40
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References |
Publication
Received: 3 May 2019
Revised: 1 May 2020
Accepted: 28 July 2020
Published: 18 August 2021
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Authors |
| Erkao Bao | |
| School of Mathematics University of Minnesota Minneapolis, MN United States |
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| Ko Honda | |
| Department of Mathematics University of California, Los Angeles Los Angeles, CA United States |
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| http://www.math.ucla.edu/~honda | |
