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Coherent orientation of mixed moduli spaces in Morse-Floer theory

Coherent orientation of mixed moduli spaces in Morse-Floer theory 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Bulletin of the Brazilian Mathematical Society, New Series Springer Journals

Coherent orientation of mixed moduli spaces in Morse-Floer theory

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References (28)

Publisher
Springer Journals
Copyright
Copyright © 2009 by Springer
Subject
Mathematics; Mathematics, general; Theoretical, Mathematical and Computational Physics
ISSN
1678-7544
eISSN
1678-7714
DOI
10.1007/s00574-009-0013-0
Publisher site
See Article on Publisher Site

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.

Journal

Bulletin of the Brazilian Mathematical Society, New SeriesSpringer Journals

Published: Jun 9, 2009

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