A Littelmann-type formula for Duistermaat-Heckman measures
type: Item
instance of: scholarly article
title: A Littelmann-type formula for Duistermaat-Heckman measures
zbMATH Open document ID: 0971.58014
author: Allen Knutson
published in: Inventiones Mathematicae
publication date: 2001-11-05T00:00:00Z
review text: This paper deals with a formula for Duistermaat-Heckman measure, similar on the surface to the original Duistermaat-Heckman theorem. The crucial difference is that unlike the Duistermaat-Heckman theorem, in which there is cancellation, all terms in the formula of the author are positive. To this end, the author makes the very restrictive assumption that the Morse function \(\nu\) is Palais-Smale, which in turn implies that its unstable and stable manifolds intersect transversely.
Mathematics Subject Classification ID: 58E99
Mathematics Subject Classification ID: 53D99
zbMATH DE Number: 1275788
zbMATH Keywords: transversality
zbMATH Keywords: Palais-Smale theory
zbMATH Keywords: Duistermaat-Heckman measure
zbMATH Keywords: Morse function
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
full work available at URL: s002220050283
OpenAlex ID: W2042365576
DOI: 10.1007/S002220050283
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description: scientific article; zbMATH DE number 1275788