Collected Papers Of V K Patodi

Patodi was a mathematician who made contributions to the analytical proof of the index theorem and the study of differential geometric invariants of manifolds. This volume includes the McKean-Singer conjecture and the anlaytic proof of Riemann-Roch-Hirzebruch theorem for Kaehler manifolds.

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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.