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

Pengshuai Shi

doi:10.1016/j.geomphys.2018.05.030

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

Pengshuai Shi

Northeastern University

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

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.

Original language	English
Pages (from-to)	81-90
Number of pages	10
Journal	Journal of Geometry and Physics
Volume	133
DOIs	https://doi.org/10.1016/j.geomphys.2018.05.030
Publication status	Published - Nov 2018
Externally published	Yes

Keywords

Atiyah–Patodi–Singer index
Callia-type operator
Cauchy data
Fredholm pair

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10.1016/j.geomphys.2018.05.030

Cite this

Shi, P. (2018). Cauchy data spaces and Atiyah–Patodi–Singer index on non-compact manifolds. Journal of Geometry and Physics, 133, 81-90. https://doi.org/10.1016/j.geomphys.2018.05.030

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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 boundary value problems.",

keywords = "Atiyah–Patodi–Singer index, Callia-type operator, Cauchy data, Fredholm pair",

author = "Pengshuai Shi",

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year = "2018",

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doi = "10.1016/j.geomphys.2018.05.030",

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AU - Shi, Pengshuai

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N2 - 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.

AB - 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.

KW - Atiyah–Patodi–Singer index

KW - Callia-type operator

KW - Cauchy data

KW - Fredholm pair

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DO - 10.1016/j.geomphys.2018.05.030

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SP - 81

EP - 90

JO - Journal of Geometry and Physics

JF - Journal of Geometry and Physics

ER -

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

Abstract

Keywords

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