A Poincaré lemma in geometric quantisation

This paper presents a Poincaré lemma for the Kostant comple x, used to compute geometric quantisation, when the polarisat ion is given by a Lagrangian foliation defined by an integrable system wit h non-degenerate singularities.

Bibliographic Details
Authors: Miranda Galcerán, Eva|||0000-0001-9518-5279, Solha, Romero
Format: report
Publication Date:2013
Country:España
Institution:Universitat Politècnica de Catalunya (UPC)
Repository:UPCommons. Portal del coneixement obert de la UPC
Language:English
OAI Identifier:oai:upcommons.upc.edu:2117/169361
Online Access:https://hdl.handle.net/2117/169361
Access Level:Open access
Keyword:Arithmetical algebraic geometry
Geometria algebraica aritmètica
Àrees temàtiques de la UPC::Matemàtiques i estadística::Geometria::Geometria algebraica
Description
Summary:This paper presents a Poincaré lemma for the Kostant comple x, used to compute geometric quantisation, when the polarisat ion is given by a Lagrangian foliation defined by an integrable system wit h non-degenerate singularities.