Skip to main content
SpringerLink
Log in

A Littelmann-type formula for Duistermaat-Heckman measures

  • ARTICLE
  • Published:
Inventiones mathematicae Aims and scope

    We’re sorry, something doesn't seem to be working properly.

    Please try refreshing the page. If that doesn't work, please contact support so we can address the problem.

Abstract.

Given a compact Hamiltonian T-manifold M, some component of whose moment map is a Palais-Smale Morse function, we give a formula for the Duistermaat-Heckman measure (the Fourier transform of the equivariant symplectic volume) as a sum of volumes of simplices. Unlike previous formulae for this measure, this sum has only positive terms. In the case of M a flag manifold, our results are an asymptotic version of Littelmann's multiplicity result in representation theory [9].

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Author information

Authors and Affiliations

  1. Department of Mathematics, Brandeis University, Waltam, MA 02154-9110, USA (e-mail: allenk@alumni.caltech.edu), , , , , , US

    Allen Knutson

Authors
  1. Allen Knutson
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Oblatum 5-I-1998 & 25-I-1998 / Published online: 14 October 1998

Rights and permissions

Reprints and permissions

About this article

Cite this article

Knutson, A. A Littelmann-type formula for Duistermaat-Heckman measures. Invent math 135, 185–200 (1999). https://doi.org/10.1007/s002220050283

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/s002220050283

Keywords

Search

Navigation