Elliptic operators in odd subspaces
Differential Geometry
2015-06-26 v1 Analysis of PDEs
Algebraic Topology
K-Theory and Homology
Operator Algebras
Abstract
An elliptic theory is constructed for operators acting in subspaces defined via odd pseudodifferential projections. Subspaces of this type arise as Calderon subspaces for first order elliptic differential operators on manifolds with boundary, or as spectral subspaces for self-adjoint elliptic differential operators of odd order. Index formulas are obtained for operators in odd subspaces on closed manifolds and for general boundary value problems. We prove that the eta-invariant of operators of odd order on even-dimesional manifolds is a dyadic rational number.
Cite
@article{arxiv.math/9907039,
title = {Elliptic operators in odd subspaces},
author = {A. Yu. Savin and B. Yu. Sternin},
journal= {arXiv preprint arXiv:math/9907039},
year = {2015}
}
Comments
27 pages