Quantum cohomology as a deformation of symplectic cohomology

2021/08/18 by Borman, Matthew Strom, Sheridan, Nick, Varolgunes, Umut · 1 citation
#53D37 #53D40 #Algebraic Geometry (math.AG) #FOS: Mathematics #Symplectic Geometry (math.SG)

paper · doi:10.48550/arxiv.2108.08391

Abstract

We prove that under certain conditions, the quantum cohomology of a positively monotone compact symplectic manifold is a deformation of the symplectic cohomology of the complement of a simple crossings symplectic divisor. We also prove rigidity results for the skeleton of the divisor complement.

Cited by

• Symplectic cohomology with support and aspherical perturbations

Related

• On Quantum de Rham Cohomology Theory
• Deformations of chiral algebras and quantum cohomology of toric varieties
• π₁ of symplectic automorphism groups and invertibles in quantum homology rings
• On Quantum de Rham Cohomology
• A survey of equivariant operations on quantum cohomology for symplectic manifolds