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 Kaehler manifolds. It also contains his celebrated joint papers on the index theorem and the Atiyah-Patodi-Singer invariant.
Sprache
Verlagsort
Zielgruppe
Für höhere Schule und Studium
Für Beruf und Forschung
Produkt-Hinweis
Fadenheftung
Gewebe-Einband
Maße
Höhe: 27 mm
Breite: 175 mm
Dicke: 256 mm
Gewicht
ISBN-13
978-981-02-2659-6 (9789810226596)
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Schweitzer Klassifikation
Herausgeber*in
Univ Of Edinburgh, Uk
The Abdus Salam Ictp, Italy
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.
