A Poincare lemma in Geometric Quantisation

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.

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

References in corpus (2)

• Geometric Quantization of real polarizations via sheaves
• On a Poincare lemma for foliations

Cited by in corpus (1)

• Inverting covariant exterior derivative