Mathematical Proceedings of the Cambridge Philosophical Society · 1975 · 510 citations · 7 references
Natural SciencesMathematicsGeometryTopologyDifferential GeometryEuclidean GeometryGeometric TopologyMetric GeometryRiemannian GeometryGeometric Structures On ManifoldsRiemannian MetricSpectral GeometrySpectral Theorem
In Part I of this paper (6) we proved various index theorems for manifolds with boundary including an extension of the Hirzebruch signature theorem. We now propose to investigate the geometric and topological implications of these theorems in a variety of contexts.
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The Index of Elliptic Operators: III
Michael Atiyah, I. M. Singer · Annals of Mathematics · 1968 · 1.3K citations
Characteristic Forms and Geometric Invariants
Shiing-Shen Chern, James Simons · Annals of Mathematics · 1974 · 990 citations
On the heat equation and the index theorem
Michael Atiyah, R. Bott, V. K. Patodi · Inventiones mathematicae · 1973 · 746 citations