Collected papers of V.K. Patodi
Author(s)
Bibliographic Information
Collected papers of V.K. Patodi
World Scientific, c1996
Available at 28 libraries
  Aomori
  Iwate
  Miyagi
  Akita
  Yamagata
  Fukushima
  Ibaraki
  Tochigi
  Gunma
  Saitama
  Chiba
  Tokyo
  Kanagawa
  Niigata
  Toyama
  Ishikawa
  Fukui
  Yamanashi
  Nagano
  Gifu
  Shizuoka
  Aichi
  Mie
  Shiga
  Kyoto
  Osaka
  Hyogo
  Nara
  Wakayama
  Tottori
  Shimane
  Okayama
  Hiroshima
  Yamaguchi
  Tokushima
  Kagawa
  Ehime
  Kochi
  Fukuoka
  Saga
  Nagasaki
  Kumamoto
  Oita
  Miyazaki
  Kagoshima
  Okinawa
  Korea
  China
  Thailand
  United Kingdom
  Germany
  Switzerland
  France
  Belgium
  Netherlands
  Sweden
  Norway
  United States of America
Note
Includes bibliographical references
Description and Table of Contents
Description
Vijay Kumar Patodi was a brilliant Indian mathematicians who made, during his short life, fundamental contributions to the analytic proof of the index theorem and to the study of differential geometric invariants of manifolds. This set of collected papers edited by Prof M Atiyah and Prof Narasimhan includes his path-breaking papers on the McKean-Singer conjecture and the analytic proof of Riemann-Roch-Hirzebruch theorem for Kähler manifolds. It also contains his celebrated joint papers on the index theorem and the Atiyah-Patodi-Singer invariant.
Table of Contents
- Curvature and the eigenforms of the Laplace operator
- an analytic proof of Riemann-Roch-Hirzebruch theorem for Kaehler manifolds
- curvature and the fundamental solution of the heat operator
- on the heat equation and the index theorem
- holomorphic Lefschetz fixed point formula
- spectral asymmetry and Riemannian geometry
- spectral asymmetry and Riemannian geometry I, II, III
- Riemannian structures and triangulations of manifolds
- a combinatorial formula for Pontrjagin classes
- Riemannian structures and triangulations of manifolds
- spectrum and the fixed point sets of isometries II.
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