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arXiv · 2408.09221

Maurer--Cartan elements in symplectic cohomology from compactifications

Matthew Strom Borman·Mohamed El Alami·Nick Sheridan
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Abstract

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.

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Matthew Strom Borman, Mohamed El Alami, Nick Sheridan. 2024-08-17. Maurer--Cartan elements in symplectic cohomology from compactifications. https://arxiv.org/abs/2408.09221

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