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  • Book
  • © 2011

Geometric Aspects of Analysis and Mechanics

In Honor of the 65th Birthday of Hans Duistermaat

Birkhäuser
  • Invited articles written by prominent researchers in the field
  • Broad collection of topics highlights Duistermaat's wide range of research and influence
  • The articles cover a wide area of fields, including symplectic, differential, and algebraic geometry, mechanics, and mathematical physics
  • Includes supplementary material: sn.pub/extras

Part of the book series: Progress in Mathematics (PM, volume 292)

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Table of contents (13 chapters)

  1. Front Matter

    Pages i-xxxvi
  2. Duistermaat–Heckman formulas and index theory

    • Jean-Michel Bismut
    Pages 1-55
  3. Asymptotic equivariant index of Toeplitz operators and relative index of CR structures

    • Louis Boutet de Monvel, Eric Leichtnam, Xiang Tang, Alan Weinstein
    Pages 57-79
  4. A semi-classical inverse problem I: Taylor expansions

    • Yves Colin de Verdière, Victor Guillemin
    Pages 81-95
  5. Conjugation spaces and edges of compatible torus actions

    • Jean-Claude Hausmann, Tara Holm
    Pages 179-198
  6. Nonabelian localization for U(1) Chern–Simons theory

    • Lisa Jeffrey, Brendan McLellan
    Pages 199-212
  7. Quantization of q-Hamiltonian SU(2)-spaces

    • Eckhard Meinrenken
    Pages 257-293
  8. Wall-crossing formulas in Hamiltonian geometry

    • Paul-Emile Paradan
    Pages 295-343

About this book

Hans Duistermaat, an influential geometer-analyst, made substantial contributions to the theory of ordinary and partial differential equations, symplectic, differential, and algebraic geometry, minimal surfaces, semisimple Lie groups, mechanics, mathematical physics, and related fields. Written in his honor, the invited and refereed articles in this volume contain important new results as well as surveys in some of these areas, clearly demonstrating the impact of Duistermaat's research and, in addition, exhibiting interrelationships among many of the topics.

 

Contributors include J.-M. Bismut, L. Boutet de Monvel, Y. Colin de Verdière, R.H. Cushman, N. Dencker, F.A. Grünbaum, V.W. Guillemin, J.-C. Hausmann, G. Heckman, T. Holm, L.C. Jeffrey, F. Kirwan, E. Leichtnam, B. McLellan, E. Meinrenken, P.-E. Paradan, J. Sjöstrand, X. Tang, S. Vũ Ngọc, A. Weinstein.

Editors and Affiliations

  • Department of Mathematics, Utrecht University, Utrecht, Netherlands

    Johan A.C. Kolk

  • Mathematical Institute, Utrecht University, Utrecht, Netherlands

    Erik P. van den Ban

Bibliographic Information

Buy it now

Buying options

eBook USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access