Elliptic operators and higher signatures

Eric Leichtnam; Paolo Piazza

Displaying similar documents to “Elliptic operators and higher signatures”

Homotopy invariance of twisted higher signatures on manifolds with boundary

éric Leichtnam, Paolo Piazza (1999)

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The eta invariant (some recent developments)

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Séminaire Bourbaki

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The $b$ -pseudodifferential calculus on Galois coverings and a higher Atiyah-Patodi-Singer index theorem

Éric Leichtnam, Paolo Piazza (1997)

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On the index of nonlocal elliptic operators for compact Lie groups

Anton Savin (2011)

Open Mathematics

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We consider a class of nonlocal operators associated with a compact Lie group G acting on a smooth manifold. A notion of symbol of such operators is introduced and an index formula for elliptic elements is obtained. The symbol in this situation is an element of a noncommutative algebra (crossed product by G) and to obtain an index formula, we define the Chern character for this algebra in the framework of noncommutative geometry.

Index theory and elliptic boundary value problems. Remarks and open problems

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Journées équations aux dérivées partielles

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Surgery and duality.

Kreck, Matthias (1999)

Annals of Mathematics. Second Series

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