VOL. 83 | 2019 On the homological algebra of relative symplectic geometry
Daniel Pomerleano

Editor(s) Kentaro Hori, Changzheng Li, Si Li, Kyoji Saito

Adv. Stud. Pure Math., 2019: 327-355 (2019) DOI: 10.2969/aspm/08310327

Abstract

This note discusses certain deformation theoretic aspects of the symplectic topology of pairs $(Y,D)$, where $Y$ is a smooth projective variety and $D$ is an ample simple normal crossings divisor. Motivated by homological mirror symmetry, we formulate a precise prediction concerning the symplectic cohomology of the affine variety $Y \setminus D$ for a wide class of examples. We show how our answer unites various mirror symmetry predictions in the literature.

Information

Published: 1 January 2019
First available in Project Euclid: 26 December 2019

zbMATH: 07276146

Digital Object Identifier: 10.2969/aspm/08310327

Subjects:
Primary: 53D37 , 53D40

Keywords: Floer homology and cohomology , homological mirror symmetry , mirror symmetry , symplectic aspects , symplectic aspects

Rights: Copyright © 2019 Mathematical Society of Japan

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