Coisotropic branes in symplectic manifolds
Symplectic Geometry
2025-07-14 v1
Abstract
A brane in a symplectic manifold is a coisotropic submanifold endowed with a compatible closed 2-form , which together induce a transverse complex structure. For a specific class of branes we give an explicit description of branes nearby a given one, and for arbitrary branes we describe the infinitesimal deformations and provide an associated cochain complex. As an application, we determine to what extent coisotropic submanifolds near a given brane admit brane structures.
Cite
@article{arxiv.2507.08620,
title = {Coisotropic branes in symplectic manifolds},
author = {Charlotte Kirchhoff-Lukat and Marco Zambon},
journal= {arXiv preprint arXiv:2507.08620},
year = {2025}
}
Comments
30 pages