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

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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… Click to show full 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.

Keywords: atiyah patodi; patodi singer; cauchy data; data spaces; singer index; non compact

Journal Title: Journal of Geometry and Physics
Year Published: 2018

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