Maurer--Cartan elements in symplectic cohomology from compactifications

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Bibliographic Details
Main Authors:	Borman, Matthew Strom, Alami, Mohamed El, Sheridan, Nick
Format:	Preprint
Published:	2024
Subjects:	Symplectic Geometry 53D40
Online Access:	Acceder al recurso
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_version_	1866912662843031552
author	Borman, Matthew Strom Alami, Mohamed El Sheridan, Nick
author_facet	Borman, Matthew Strom Alami, Mohamed El Sheridan, Nick
contents	We prove that under certain conditions, a normal crossings compactification of a Liouville domain determines a Maurer--Cartan element for the $L_\infty$ structure on its symplectic cohomology; and deforming by this element gives the quantum cohomology of the compactification.
format	Preprint
id	arxiv_https___arxiv_org_abs_2408_09221
institution	arXiv
publishDate	2024
record_format	arxiv
spellingShingle	Maurer--Cartan elements in symplectic cohomology from compactifications Borman, Matthew Strom Alami, Mohamed El Sheridan, Nick Symplectic Geometry 53D40 We prove that under certain conditions, a normal crossings compactification of a Liouville domain determines a Maurer--Cartan element for the $L_\infty$ structure on its symplectic cohomology; and deforming by this element gives the quantum cohomology of the compactification.
title	Maurer--Cartan elements in symplectic cohomology from compactifications
topic	Symplectic Geometry 53D40
url	https://arxiv.org/abs/2408.09221

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