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Quantum cohomology as a deformation of symplectic cohomology

Authors: Borman, Matthew Strom; Sheridan, Nick; Varolgunes, Umut;

Quantum cohomology as a deformation of symplectic cohomology

Abstract

AbstractWe 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.

Country
United Kingdom
Keywords

53D37, Mathematics - Algebraic Geometry, 53D37, 53D40, Mathematics - Symplectic Geometry, FOS: Mathematics, 53D40, Symplectic Geometry (math.SG), Algebraic Geometry (math.AG)

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
7
Top 10%
Average
Top 10%
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