Elliptic Theory for Operators Associated with Diffeomorphisms of Smooth Manifolds

DOI10.1007/978-3-0348-0585-8_1zbMath1269.58009arXiv1207.3017OpenAlexW2127710092MaRDI QIDQ4914464

B. Yu. Sternin, A. Yu. Savin

Publication date: 12 April 2013

Published in: Pseudo-Differential Operators, Generalized Functions and Asymptotics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.3017

zbMATH Keywords

diffeomorphismelliptic operatorindex formulacyclic cohomology\(G\)-operator

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Index theory and related fixed-point theorems on manifolds (58J20) Pseudodifferential and Fourier integral operators on manifolds (58J40) Exotic index theories on manifolds (58J22) Eta-invariants, Chern-Simons invariants (58J28) Boundary value problems on manifolds (58J32) Research exposition (monographs, survey articles) pertaining to global analysis (58-02) Topological properties of groups of homeomorphisms or diffeomorphisms (57S05) Index theory (19K56)

Related Items (9)

Elliptic \(G\)-operators on manifolds with isolated singularities ⋮ Elliptic expansion-contraction problems on manifolds with boundary ⋮ Elliptic differential dilation-contraction problems on manifolds with boundary ⋮ Local index theory for operators associated with Lie groupoid actions ⋮ On the index of nonlocal elliptic operators associated with fibrations ⋮ Homotopy classification of elliptic problems associated with discrete group actions on manifolds with boundary ⋮ Uniformization of nonlocal elliptic operators and \(KK\)-theory ⋮ Traces of \(G\)-operators concentrated on submanifolds ⋮ EQUIVARIANT ALGEBRAIC INDEX THEOREM

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