The Index of a Local Boundary Value Problem for Strongly Callias-Type Operators

Maxim Braverman; Pengshuai Shi

doi:10.1007/s40598-019-00110-1

The Index of a Local Boundary Value Problem for Strongly Callias-Type Operators

Maxim Braverman^*, Pengshuai Shi

^*Corresponding author for this work

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

5 Citations (Scopus)

Abstract

We consider a complete Riemannian manifold M whose boundary is a disjoint union of finitely many complete connected Riemannian manifolds. We compute the index of a local boundary value problem for a strongly Callias-type operator on M. Our result extends an index theorem of D. Freed to non-compact manifolds, thus providing a new insight on the Hořava–Witten anomaly.

Original language	English
Pages (from-to)	79-96
Number of pages	18
Journal	Arnold Mathematical Journal
Volume	5
Issue number	1
DOIs	https://doi.org/10.1007/s40598-019-00110-1
Publication status	Published - 1 Mar 2019
Externally published	Yes

Keywords

Boundary value problem
Callias
Chiral anomaly
Cobordism
Index

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10.1007/s40598-019-00110-1

Cite this

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abstract = "We consider a complete Riemannian manifold M whose boundary is a disjoint union of finitely many complete connected Riemannian manifolds. We compute the index of a local boundary value problem for a strongly Callias-type operator on M. Our result extends an index theorem of D. Freed to non-compact manifolds, thus providing a new insight on the Ho{\v r}ava–Witten anomaly.",

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AB - We consider a complete Riemannian manifold M whose boundary is a disjoint union of finitely many complete connected Riemannian manifolds. We compute the index of a local boundary value problem for a strongly Callias-type operator on M. Our result extends an index theorem of D. Freed to non-compact manifolds, thus providing a new insight on the Hořava–Witten anomaly.

KW - Boundary value problem

KW - Callias

KW - Chiral anomaly

KW - Cobordism

KW - Index

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The Index of a Local Boundary Value Problem for Strongly Callias-Type Operators

Abstract

Keywords

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