Collected papers of V.K. Patodi
著者
書誌事項
Collected papers of V.K. Patodi
World Scientific, c1996
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注記
Includes bibliographical references
内容説明・目次
内容説明
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.
目次
- 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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