3 papers
math.KT2001
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…
math.AP1999
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…
math.DG1999
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…