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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.
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Keywords:
atiyah patodi;
patodi singer;
cauchy data;
data spaces ... See more keywords
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1
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…
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Keywords:
atiyah patodi;
index;
patodi singer;
index lattice ... See more keywords