Coherent orientation of mixed moduli spaces in Morse-Floer theory |
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| Authors: | Jelena Kati? Darko Milinkovi? |
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| Institution: | (1) Matematički fakultet, Studentski trg 16, 11000 Beograd, SERBIA |
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| Abstract: | We give the coherent orientation for the spaces of intersections of gradient trajectories and holomorphic disks in cotangent
bundle. This construction provides the Piunikhin-Salamon-Schwarz isomorphism between Morse homology and Floer homology for
Lagrangian intersections in cotangent bundles, with integer coefficients.
This work is partially supported by Ministry of Science and Environmental Protection of Republic of Serbia Project #144020. |
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| Keywords: | Lagrangian submanifolds Floer homology Morse theory coherent orientation |
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