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Maurer--Cartan elements in symplectic cohomology from compactifications

Published 17 Aug 2024 in math.SG | (2408.09221v2)

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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