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

被引：5
|
作者：
Braverman M. [1 ]
Shi P. [2 ]
机构：
[1] Department of Mathematics, Northeastern University, Boston, 02115, MA
[2] Beijing International Center for Mathematical Research (BICMR), Beijing (Peking) University, Beijing
来源：
Arnold Mathematical Journal | 2019年 / 5卷 / 1期
关键词：
Boundary value problem; Callias; Chiral anomaly; Cobordism; Index;
D O I：
10.1007/s40598-019-00110-1
中图分类号：
学科分类号：
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. © 2019, Institute for Mathematical Sciences (IMS), Stony Brook University, NY.
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页码：79 / 96
页数：17
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