The index of Callias-type operators with Atiyah–Patodi–Singer boundary conditions

Pengshuai Shi

doi:10.1007/s10455-017-9575-z

The index of Callias-type operators with Atiyah–Patodi–Singer boundary conditions

Pengshuai Shi^*

^*Corresponding author for this work

Northeastern University

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

4 Citations (Scopus)

Abstract

We compute the index of a Callias-type operator with APS boundary condition on a manifold with compact boundary in terms of combination of indexes of induced operators on a compact hypersurface. Our result generalizes the classical Callias-type index theorem to manifolds with compact boundary.

Original language	English
Pages (from-to)	465-482
Number of pages	18
Journal	Annals of Global Analysis and Geometry
Volume	52
Issue number	4
DOIs	https://doi.org/10.1007/s10455-017-9575-z
Publication status	Published - 1 Dec 2017
Externally published	Yes

Keywords

Atiyah–Patodi–Singer boundary condition
Callias-type operator
Index theory

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10.1007/s10455-017-9575-z

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title = "The index of Callias-type operators with Atiyah–Patodi–Singer boundary conditions",

abstract = "We compute the index of a Callias-type operator with APS boundary condition on a manifold with compact boundary in terms of combination of indexes of induced operators on a compact hypersurface. Our result generalizes the classical Callias-type index theorem to manifolds with compact boundary.",

keywords = "Atiyah–Patodi–Singer boundary condition, Callias-type operator, Index theory",

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N2 - We compute the index of a Callias-type operator with APS boundary condition on a manifold with compact boundary in terms of combination of indexes of induced operators on a compact hypersurface. Our result generalizes the classical Callias-type index theorem to manifolds with compact boundary.

AB - We compute the index of a Callias-type operator with APS boundary condition on a manifold with compact boundary in terms of combination of indexes of induced operators on a compact hypersurface. Our result generalizes the classical Callias-type index theorem to manifolds with compact boundary.

KW - Atiyah–Patodi–Singer boundary condition

KW - Callias-type operator

KW - Index theory

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U2 - 10.1007/s10455-017-9575-z

DO - 10.1007/s10455-017-9575-z

M3 - Article

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JO - Annals of Global Analysis and Geometry

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IS - 4

ER -

The index of Callias-type operators with Atiyah–Patodi–Singer boundary conditions

Abstract

Keywords

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