3 citations · 5 across the 3 of their papers we have counts for
3 papers
math.AP2011★ 1 cited
On the Index Formula for an Isometric Diffeomorphism
A. Savin, E. Schrohe, B. Sternin
We give an elementary solution of the index problem for elliptic operators associated with the shift operator along the trajectories of an isometric diffeomorphism of a closed smoo…
math.OA2007★ 3 cited
Atiyah-Bott index on stratified manifolds
V. E. Nazaikinskii, A. Yu. Savin, B. Yu. Sternin
We define Atiyah-Bott index on stratified manifolds and express it in topological terms. By way of example, we compute this index for geometric operators on manifolds with edges.
math.KT2000★ 1 cited
The Eta-invariant and Pontryagin duality in K-theory
A. Yu. Savin, B. Yu. Sternin
The topological significance of the spectral Atiyah-Patodi-Singer eta-invariant is investigated under the parity conditions of P. Gilkey. We show that twice the fractional part of…