Surgery and the relative index in elliptic theory

DOI10.1155/AAA/2006/98081zbMath1133.58014OpenAlexW2031306959MaRDI QIDQ2491439

B. Yu. Sternin, Vladimir E. Nazaikinskii

Publication date: 29 May 2006

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/53909

Mathematics Subject Classification ID

Related Items (4)

The Aharonov-Bohm effect for massless Dirac fermions and the spectral flow of Dirac-type operators with classical boundary conditions ⋮ On a \(KK\)-theoretic counterpart of relative index theorems ⋮ Index of twisted elliptic boundary value problems associated with isometric group actions ⋮ Fourier integral operators and the index of symplectomorphisms on manifolds with boundary

Cites Work

• Pseudo-differential operators, singularities, applications
• Positive scalar curvature and the Dirac operator on complete Riemannian manifolds
• Transformation of boundary problems
• Contact degree and the index of Fourier integral operators
• On the index of differential operators on manifolds with conical singularities
• Localization and surgery in the index theory of elliptic operators.
• A remark on elliptic theory on manifolds with isolated singularities.
• Local formula for the index of a Fourier integral operator
• On the index of elliptic operators on manifolds with edges
• The index locality principle in elliptic theory
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