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.
A biased view of symplectic cohomology
2 Pith papers cite this work. Polarity classification is still indexing.
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Proves the compactly supported symplectic mapping class group of conifold smoothing X splits off an infinite-rank free group and classifies spherical objects in D(Y) for the conifold resolution.
citing papers explorer
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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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Symplectomorphisms and spherical objects in the conifold smoothing
Proves the compactly supported symplectic mapping class group of conifold smoothing X splits off an infinite-rank free group and classifies spherical objects in D(Y) for the conifold resolution.