Establishes relation between MU-lifted symplectic cohomology and bulk-deformed version via homotopy coherent GRR, yielding computable criterion for non-trivial complex cobordism classes.
Functors and Computations in Floer homology with Applications Part II
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abstract
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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UNVERDICTED 2representative citing papers
Defines DG-coefficient Floer homology, builds associated tools including symplectic homology and spectral invariants, and proves a Viterbo isomorphism for cotangent bundles with applications to almost existence of contractible closed characteristics.
citing papers explorer
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Bulk-deformations, Floer complex bordism, and Grothendieck-Riemann-Roch
Establishes relation between MU-lifted symplectic cohomology and bulk-deformed version via homotopy coherent GRR, yielding computable criterion for non-trivial complex cobordism classes.
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Floer Homology with DG Coefficients. Applications to cotangent bundles
Defines DG-coefficient Floer homology, builds associated tools including symplectic homology and spectral invariants, and proves a Viterbo isomorphism for cotangent bundles with applications to almost existence of contractible closed characteristics.