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.
Algebraic topology
2 Pith papers cite this work. Polarity classification is still indexing.
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2024 2verdicts
UNVERDICTED 2representative citing papers
Matching complex of P_n × P_m is homotopy equivalent to a wedge of spheres for n≥2 and 3≤m≤5, with explicit sphere data for m=3.
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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.
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On the matching complexes of categorical product of path graphs
Matching complex of P_n × P_m is homotopy equivalent to a wedge of spheres for n≥2 and 3≤m≤5, with explicit sphere data for m=3.