English

A Poincare lemma in Geometric Quantisation

Symplectic Geometry 2014-01-08 v2

Abstract

This article presents a Poincare lemma for the Kostant complex, used to compute geometric quantisation, when the polarisation is given by a Lagrangian foliation defined by an integrable system with nondegenerate singularities.

Cite

@article{arxiv.1307.3275,
  title  = {A Poincare lemma in Geometric Quantisation},
  author = {Eva Miranda and Romero Solha},
  journal= {arXiv preprint arXiv:1307.3275},
  year   = {2014}
}

Comments

19 pages; overall improvement in section 7, including generalisations of some results and the addition of new ones

R2 v1 2026-06-22T00:50:05.448Z