\(L^ 2\) Riemann-Roch theorem for elliptic operators

DOI10.1007/BF01895677zbMath0840.58045OpenAlexW4240072373MaRDI QIDQ1902008

Mikhail A. Shubin

Publication date: 7 July 1996

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/58199

zbMATH Keywords

elliptic operators\(L^ 2\)-Riemann-Roch theorem

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) General theory of (C^*)-algebras (46L05) Exotic index theories on manifolds (58J22) Riemann-Roch theorems, Chern characters (19L10)

Related Items (9)

A factorization theorem for curves with vanishing self-intersection ⋮ Semiclassical asymptotics on covering manifolds and Morse inequalities ⋮ Some mixed Hodge structures on \(l^{2}\)-cohomology groups of coverings of Kähler manifolds ⋮ Generalized Fredholm properties for invariant pseudodifferential operators ⋮ Hodge theory for elliptic complexes over unital \(C^\ast\)-algebras ⋮ Morse inequalities for Fourier components of Kohn-Rossi cohomology of CR covering manifolds with \(S^1\)-action ⋮ The \(G\)-Fredholm property of the \(\bar{\partial}\)-Neumann problem ⋮ The $b$-pseudodifferential calculus on Galois coverings and a higher Atiyah-Patodi-Singer index theorem ⋮ Mikhail Aleksandrovich Shubin

Cites Work

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• An index theorem on open manifolds. I. II
• Harmonic functions with a given set of singularities
• Bounds on the von Neumann dimension of \(L^ 2\)-cohomoloy and the Gauss- Bonnet theorem for open manifolds
• Fredholm theories in von Neumann algebras. I
• VON NEUMANN DIMENSION AND THE HOMOLOGY OF COVERING SPACES
• Seminar on Atiyah-Singer Index Theorem. (AM-57)

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