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Vijay Kumar Patodi

Vijay Kumar Patodi, Indian mathematician (Guna, Madhya Pradesh 12 March 1945 – Mumbai 21 December 1976)
Derived a formula for the index of a linear elliptic operator on a compact manifold (1971)
With Atiyah & Singer introduced eta invariant, a special invariant of a compact Riemannian manifold (1973-5)
First to prove local equivariant Atiyah-Singer index theorem
Gave a combinatorial formula for Pontryagin classes (1976)

Invited Lecturer, International Congress of Mathematicians (1974)


Atiyah-Patodi-Singer index theorem

Atiyah-Bott-Patodi index theorem

Atiyah-Bott-Patodi space

Atiyah-Patodi-Singer invariant

Patodi cancellation lemma