English

Local systems and vanishing Maslov class

Symplectic Geometry 2025-02-18 v2

Abstract

It is well known that closed exact Lagrangians in cotangent bundles of closed manifolds have vanishing Maslov class and are homotopy equivalent to the zero section. In this paper we greatly simplify the proof of vanishing Maslov class and generalize the proof to a slightly larger family of Weinstein domains.

Keywords

Cite

@article{arxiv.2410.01586,
  title  = {Local systems and vanishing Maslov class},
  author = {Axel Husin and Thomas Kragh},
  journal= {arXiv preprint arXiv:2410.01586},
  year   = {2025}
}

Comments

64 pages, 6 figures; typos corrected, added references, changed 'volume form' to 'quadratic volume form'

R2 v1 2026-06-28T19:05:19.197Z