Equivariant Lagrangian displacements
Symplectic Geometry
2025-10-24 v1
Abstract
This paper proves that certain monotone Lagrangians in the standard symplectic vector space cannot be displaced by a Hamiltonian isotopy which commutes with the antipodal map. The method of proof is to develop a Borel equivariant version of the quantum cohomology of Biran and Cornea, and prove it is sensitive to equivariant displacements. The Floer--Euler class of Biran and Khanevsky appears as a term in the equivariant differential in certain cases.
Cite
@article{arxiv.2510.20756,
title = {Equivariant Lagrangian displacements},
author = {Dylan Cant and Julio Sampietro Christ},
journal= {arXiv preprint arXiv:2510.20756},
year = {2025}
}
Comments
44 pages