Construct · 1 fields · 1 citations

Atiyah-Singer index theorem: a standalone construct

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Differential geometry

the analytic index of an elliptic operator on a compact manifold equals a topological index computed from characteristic classes.

In differential geometry, Atiyah-Singer index theorem refers to the analytic index of an elliptic operator on a compact manifold equals a topological index computed from characteristic classes. This meaning comes from Atiyah (1963) in Bulletin of the American Mathematical Society.[1]

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Nearby constructs

index5 fields · 11 citationsjingle · one word, five constructs manifold2 fields · 2 citationsjingle · one word, two constructs operator3 fields · 3 citationsjingle · one word, three constructs

References

Atiyah, M. F., & Singer, I. M. (1963). The index of elliptic operators on compact manifolds. Bulletin of the American Mathematical Society, 69(3), 422-433. https://doi.org/10.1090/s0002-9904-1963-10957-x

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