Wall crossing formulaes in Hamiltonian geometry

Paul-Emile Paradan

doi:10.1007/978-0-8176-8244-6_11

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Wall crossing formulaes in Hamiltonian geometry

Journal article

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Wall crossing formulaes in Hamiltonian geometry

Paul-Emile Paradan

Progress in Mathematics, Vol.Geometric Aspects of Analysis and Mechanics. In Honor of the 65th Birthday of Hans Duistermaat.(292), pp.295-343

2011

DOI: https://doi.org/10.1007/978-0-8176-8244-6_11

Abstract

symplectic

moment map

geometric quantization

transversally elliptic

partition function

In this article, we study the local invariants associated to the Hamiltonian action of a compact torus. Our main results are wall-crossing formulas between invariants attached to adjacent connected components of regular values of the moment map.

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Title: Wall crossing formulaes in Hamiltonian geometry
Creators - without role: Paul-Emile Paradan - Université de Montpellier, Institut Montpelliérain Alexander Grothendieck - IMAG
Publication Details: Progress in Mathematics, Vol.Geometric Aspects of Analysis and Mechanics. In Honor of the 65th Birthday of Hans Duistermaat.(292), pp.295-343
Identifiers: 9944230609311
Academic Unit: Institut Montpelliérain Alexander Grothendieck - IMAG
Language: English
Resource Type: Journal article
Local Fields: hal-00773253