Published January 1, 2022 | Version v1
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Quantum cohomology as a deformation of symplectic cohomology

  • 1. Univ Illinois, Dept Math, 1409 W Green St, Urbana, IL 61801 USA
  • 2. Univ Edinburgh, Sch Math, Edinburgh EH9 3FD, Midlothian, Scotland

Description

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.

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