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

^*此作品的通讯作者

Northeastern University
Peking University

科研成果: 期刊稿件 › 文章 › 同行评审

6 引用（Scopus）

摘要

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.

源语言	英语
页（从-至）	79-96
页数	18
期刊	Arnold Mathematical Journal
卷	5
期	1
DOI	https://doi.org/10.1007/s40598-019-00110-1
出版状态	已出版 - 1 3月 2019
已对外发布	是

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10.1007/s40598-019-00110-1

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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{\textendash}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

UR - https://www.scopus.com/pages/publications/85065961538

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

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