9 citations · 17 across the 11 of their papers we have counts for
11 papers
An operator algebra associated with a pair of intersecting manifolds
D. A. Loshchenova, A. Yu. Savin, B. Yu. Sternin
Given a pair of smooth transversally intersecting manifolds in some ambient manifold, we construct an operator algebra generated by pseudodifferential operators and the (co)boundar…
Noncommutative elliptic theory. Examples
A. Yu. Savin, B. Yu. Sternin
We study differential operators, whose coefficients define noncommutative algebras. As algebra of coefficients, we consider crossed products, corresponding to action of a discrete…
Index formulas on stratified manifolds
A. Savin, B. Sternin
Elliptic operators on stratified manifolds with any finite number of strata are considered. Under certain assumptions on the symbols of operators, we obtain index formulas, which e…
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…
On elliptic differential operators with shifts: II. The cohomological index formula
V. E. Nazaikinskii, A. Yu. Savin, B. Yu. Sternin
This paper is a continuation of arXiv:0706.3511, where we obtained a local index formula for matrix elliptic operators with shifts. Here we establish a cohomological index formula…
On elliptic differential operators with shifts
V. E. Nazaikinskii, A. Yu. Savin, B. Yu. Sternin
We give an index formula for elliptic differential operators whose coefficients include shifts forming an infinite group.