English

Squared Dehn twists and deformed symplectic invariants

Symplectic Geometry 2021-04-08 v2

Abstract

We establish an infinitesimal version of fragility for squared Dehn twists around even dimensional Lagrangian spheres. The precise formulation involves twisting the Fukaya category by a closed two-form or bulk deforming it by a half-dimensional cycle. As our main application, we compute the twisted and bulk deformed symplectic cohomology of the subflexible Weinstein manifolds constructed in \cite{murphysiegel}.

Keywords

Cite

@article{arxiv.1609.08545,
  title  = {Squared Dehn twists and deformed symplectic invariants},
  author = {Kyler Siegel},
  journal= {arXiv preprint arXiv:1609.08545},
  year   = {2021}
}

Comments

v2: expanded several proofs with more details, various fixes and improvements throughout

R2 v1 2026-06-22T16:03:06.040Z