28 citations · 59 across the 21 of their papers we have counts for
5 papers · 1 filter
Relative index theorem in K-homology
V. E. Nazaikinskii
We prove an analog of Gromov--Lawson type relative index theorems for K-homology classes.
On a KK-theoretic counterpart of relative index theorems
V. E. Nazaikinskii
Relative index theorems, which deal with what happens with the index of elliptic operators when cutting and pasting, are abundant in the literature. It is desirable to obtain simil…
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…
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…
On the homotopy classification of elliptic operators on stratified manifolds
V. E. Nazaikinskii, A. Yu. Savin, B. Yu. Sternin
We find the stable homotopy classification of elliptic operators on stratified manifolds. Namely, we establish an isomorphism of the set of elliptic operators modulo stable homotop…