Cauchy data spaces and Atiyah–Patodi–Singer index on non-compact manifolds
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Geometry and Physics"
DOI: 10.1016/j.geomphys.2018.05.030
Abstract: 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. read more here.
Keywords: atiyah patodi; patodi singer; cauchy data; data spaces ... See more keywords
The Atiyah–Patodi–Singer index on a lattice
Sign Up to like & getrecommendations! Published in 2020 at "Progress of Theoretical and Experimental Physics"
DOI: 10.1093/ptep/ptaa031
Abstract: We propose a non-perturbative formulation of the Atiyah-Patodi-Singer(APS) index in lattice gauge theory, in which the index is given by the $\eta$ invariant of the domain-wall Dirac operator. Our definition of the index is always… read more here.
Keywords: atiyah patodi; index; patodi singer; index lattice ... See more keywords