Cauchy data spaces and Atiyah-Patodi-Singer index on non-compact manifolds

Abstract

We study the Cauchy data spaces of the strongly Callias-type operators using maximal domain on manifolds with non-compact boundary, with the aim of understanding the Atiyah-Patodi-Singer index and elliptic boundary value problems.

arXiv comment12 pages

References in corpus (4)

• Boundary Value Problems for Elliptic Differential Operators of First Order
• Boundary value problems for noncompact boundaries of Spin${}^c$ manifolds and spectral estimates
• The Atiyah-Patodi-Singer index on manifolds with non-compact boundary
• APS index theorem for even-dimensional manifolds with non-compact boundary

Cited by in corpus (3)

• The Atiyah-Patodi-Singer index on manifolds with non-compact boundary
• First-order elliptic boundary value problems on manifolds with non-compact boundary
• The index of a local boundary value problem for strongly Callias-type operators