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arxiv: 1805.01316 · v1 · pith:3ICKX7ZZnew · submitted 2018-05-03 · 🧮 math.SG

Functors and Computations in Floer homology with Applications Part II

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keywords cohomologypartfloercomputationsgeneratinggivenprovesresults
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The results in this paper concern computations of Floer cohomology using generating functions. The first part proves the isomorphism between Floer cohomology and Generating function cohomology introduced by Lisa Traynor. The second part proves that the Floer cohomology of the cotangent bundle (in the sense of Part I), is isomorphic to the cohomology of the loop space of the base. This has many consequences, some of which were given in Part I (GAFA, Geom. funct. anal. Vol. 9 (1999) 985-1033), others will be given in forthcoming papers. The results in this paper had been announced (with indications of proof) in a talk at the ICM 94 in Z{\"u}rich. Up to typos, this is the revised version from 2003.

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Cited by 2 Pith papers

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    The authors relate the complex cobordism lift of symplectic cohomology to bulk-deformed symplectic cohomology via a homotopy coherent Grothendieck-Riemann-Roch theorem, provide a criterion for non-base-change cases, a...

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    math.SG 2026-05 unverdicted novelty 7.0

    Establishes relation between MU-lifted symplectic cohomology and bulk-deformed version via homotopy coherent GRR, yielding computable criterion for non-trivial complex cobordism classes.