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Symplectic cohomology relative to a smooth anticanonical divisor
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For a monotone symplectic manifold and a smooth anticanonical divisor, there is a formal deformation of the symplectic cohomology of the divisor complement, defined by allowing Floer cylinders to intersect the divisor. We compute this deformed symplectic cohomology, in terms of the ordinary cohomology of the manifold and divisor; and also describe some additional structures that it carries.
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Cited by 3 Pith papers
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Obstructions to smoothing orbicurves and Orbifold Hecke algebras
Under mild assumptions the orbifold Hecke algebra of [X/G] is isomorphic to the degree-0 cohomology of the A∞-endomorphism algebra of a regular cotangent fiber in the bulk-deformed wrapped Fukaya category of T*[X/G].
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Ample divisor complements, Floer spectra, and relative Gromov-Witten theory
The associated graded of the Floer homotopy type of an ample smooth divisor complement is computed, with the splitting obstruction encoded in a stable homotopy class from genus-0 relative Gromov–Witten moduli.
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A Deformation of the Compact Fukaya Category via the Relative Fukaya Category
The compact subcategory W(M,D) of the CO(β)-deformed wrapped Fukaya category is filtered quasi-equivalent to Seidel's relative Fukaya category F(M,D).
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