Index theory of geometric Fredholm operators on varieties with isolated singularities

DOI10.1007/BF00536978zbMath0643.58022MaRDI QIDQ1102011

Peter Haskell

Publication date: 1987

Published in: \(K\)-Theory (Search for Journal in Brave)

zbMATH Keywords

\(L^ 2\)-cohomologyindex problemgeometric elliptical differential operatorgeometric Fredholm operatorssingular algebraic variety

Mathematics Subject Classification ID

Index theory and related fixed-point theorems on manifolds (58J20)

Related Items (3)

Noncommutative geometry and classification of elliptic operators ⋮ A Dolbeault-Hilbert complex for a variety with isolated singular points ⋮ Elliptic operators on manifolds with singularities and \(K\)-homology

Cites Work

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• The longitudinal index theorem for foliations
• \(L_ 2\)-cohomology and intersection homology of certain algebraic varieties with isolated singularities
• The Künneth theorem and the universal coefficient theorem for Kasparov's generalized K-functor
• \(L_ 2\)-cohomology of Kähler varieties with isolated singularities
• L//2 cohomology of warped products and arithmetic groups
• Resolution of singularities of an algebraic variety over a field of characteristic zero. I
• THE OPERATORK-FUNCTOR AND EXTENSIONS OFC*-ALGEBRAS
• The Harmonic Operator for Exterior Differential Forms

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