9 citations · 17 across the 11 of their papers we have counts for
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math.KT2007
Poincare isomorphism in K-theory on manifolds with edges
V. E. Nazaikinskii, A. Yu. Savin, B. Yu. Sternin
The aim of this paper is to construct the Poincare isomorphism in K-theory on manifolds with edges. We show that the Poincare isomorphism can naturally be constructed in the framew…
math.KT2006
Elliptic Theory on Manifolds with Corners: II. Homotopy classification and -Homology
V. E. Nazaikinskii, A. Yu. Savin, B. Yu. Sternin
We establish the stable homotopy classification of elliptic pseudodifferential operators on manifolds with corners and show that the set of elliptic operators modulo stable homotop…
math.KT2001
Index defects in the theory of nonlocal boundary value problems and the eta invariant
A. Savin, B. Sternin
We study elliptic theory on manifolds with boundary represented as a covering space. Firstly, we consider boundary value problems, where the boundary conditions are allowed to mix…