An anomaly formula for Ray–Singer metrics on manifolds with boundary

Spectral asymmetry and Riemannian Geometry. I

Michael Atiyah, V. K. Patodi, I. M. Singer · Mathematical Proceedings of the Cambridge Philosophical Society · 1975 · 2.1K citations

Natural Sciences, Physics, Descriptive Geometry +10

R-Torsion and the Laplacian on Riemannian manifolds

Daniel Ray, I. M. Singer · Advances in Mathematics · 1971 · 1K citations

Natural Sciences, Anatomy, Geodesy +9

Characteristic Forms and Geometric Invariants

Shiing-Shen Chern, James Simons · Annals of Mathematics · 1974 · 990 citations

Natural Sciences, Mathematics, Geometry +11

On the heat equation and the index theorem

Michael Atiyah, R. Bott, V. K. Patodi · Inventiones mathematicae · 1973 · 746 citations

Natural Sciences, Physics, Differential Equations +13

A Simple Intrinsic Proof of the Gauss-Bonnet Formula for Closed Riemannian Manifolds

Shiing-Shen Chern · Annals of Mathematics · 1944 · 493 citations

Natural Sciences, Physics, Geometry +9