28 citations · 59 across the 21 of their papers we have counts for
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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…
Elliptic Theory on Manifolds with Corners: I. Dual Manifolds and Pseudodifferential Operators
V. E. Nazaikinskii, A. Yu. Savin, B. Yu. Sternin
In this first part of the paper, we define a natural dual object for manifolds with corners and show how pseudodifferential calculus on such manifolds can be constructed in terms o…
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…