English

Maurer--Cartan elements in symplectic cohomology from compactifications

Symplectic Geometry 2025-10-22 v3

Abstract

We prove that under certain conditions, a normal crossings compactification of a Liouville domain determines a Maurer--Cartan element for the LL_\infty structure on its symplectic cohomology; and deforming by this element gives the quantum cohomology of the compactification.

Keywords

Cite

@article{arxiv.2408.09221,
  title  = {Maurer--Cartan elements in symplectic cohomology from compactifications},
  author = {Matthew Strom Borman and Mohamed El Alami and Nick Sheridan},
  journal= {arXiv preprint arXiv:2408.09221},
  year   = {2025}
}

Comments

v3: accepted version