Uniformization and index of elliptic operators associated with diffeomorphisms of a manifold

DOI10.1134/S1061920815030115zbMath1329.58022arXiv1111.1525OpenAlexW3103858240MaRDI QIDQ891372

Elmar Schrohe, B. Yu. Sternin, A. Yu. Savin

Publication date: 17 November 2015

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.1525

zbMATH Keywords

uniformizationdiffeomorphismsnonlocal elliptic operatorsAtiyah-Singer index theoremindex problem

Mathematics Subject Classification ID

Elliptic genera (58J26)

Related Items (7)

Index of differential-difference operators on an infinite cylinder ⋮ An index formula for groups of isometric linear canonical transformations ⋮ \(C^*\)-algebras of transmission problems and elliptic boundary value problems with shift operators ⋮ Elliptic \(\mathbb{Z}\)-operators associated with the metaplectic group ⋮ Elliptic operators associated with groups of quantized canonical transformations ⋮ Analytic and algebraic indices of elliptic operators associated with discrete groups of quantized canonical transformations ⋮ EQUIVARIANT ALGEBRAIC INDEX THEOREM

Cites Work

• Hopf algebra equivariant cyclic cohomology, \(K\)-theory and index formulas
• Groups which act freely on \({\mathbb{R}}^ m\times S^{n-1}\)
• Equivariant KK-theory and the Novikov conjecture
• Partial differential equations VIII. Overdetermined systems. Dissipative singular Schrödinger operator. Index theory. Transl. from the Russian by C. Constanda
• A Lefschetz fixed-point formula for certain orbifold C*-algebras
• Homotopy types of orbit spaces and their self-equivalences for the periodic groups \(\mathbb Z/a \rtimes (\mathbb Z/b \times T^\star_n)\) and \(\mathbb Z/a \rtimes (\mathbb Z/b \times O^\star_n)\)
• The index of elliptic operators. I
• Pseudodifferential operators on Hilbert bundles
• Shape theory for $C^*$-algebras.
• Uniformization of nonlocal elliptic operators and \(KK\)-theory
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