18 citations · 22 across the 2 of their papers we have counts for
6 papers
Elliptic operators on manifolds with singularities and K-homology
A. Savin
It is well known that elliptic operators on a smooth compact manifold are classified by K-homology. We prove that a similar classification is also valid for manifolds with simplest…
Boundary Value Problems on Manifolds with Fibered Boundary
A. Yu. Savin, B. Yu. Sternin
We define a class of boundary value problems on manifolds with fibered boundary. This class is in a certain sense a deformation between the classical boundary value problems and th…
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…
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…
The homotopy classification and the index of boundary value problems for general elliptic operators
A. Yu. Savin, B. Yu. Sternin, B. -W. Schulze
We give the homotopy classification and compute the index of boundary value problems for elliptic equations. The classical case of operators that satisfy the Atiyah-Bott condition…
Elliptic operators in subspaces and the eta invariant
A. Yu. Savin, B. -W. Schulze, B. Yu. Sternin
The spectral eta-invariant of a self-adjoint elliptic differential operator on a closed manifold is rigid, provided that the parity of the order is opposite to the parity of dimens…