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

被引：0

作者：

Pengshuai Shi

机构：

[1] Northeastern University,Department of Mathematics

来源：

Annals of Global Analysis and Geometry | 2017年 / 52卷

关键词：

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

D O I：

暂无

中图分类号：

学科分类号：

摘要：

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.

引用

页码：465 / 482

页数：17

共 50 条

[21] Atiyah-Patodi-Singer index theorem for domain walls
Ivanov, A., V
Vassilevich, D. V.
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2020, 53 (30)
[22] The equivariant noncommutative Atiyah-Patodi-Singer index theorem
Wang, Yong
[J]. K-THEORY, 2006, 37 (03): : 213 - 233
[23] Callias-type operators associated to spectral triples
Schulz-Baldes, Hermann
Stoiber, Tom
[J]. JOURNAL OF NONCOMMUTATIVE GEOMETRY, 2023, 17 (02) : 527 - 572
[24] The noncommutative family Atiyah-Patodi-Singer index theorem
Wang, Yong
[J]. JOURNAL OF GEOMETRY AND PHYSICS, 2016, 110 : 44 - 59
[25] On the Arnold conjecture and the Atiyah-Patodi-Singer index theorem
Miettinen, M
Niemi, AJ
[J]. PHYSICS LETTERS B, 1999, 461 (1-2) : 89 - 94
[26] Callias-Type Operators in von Neumann Algebras
Braverman, Maxim
Cecchini, Simone
[J]. JOURNAL OF GEOMETRIC ANALYSIS, 2018, 28 (01) : 546 - 586
[27] Callias-Type Operators in von Neumann Algebras
Maxim Braverman
Simone Cecchini
[J]. The Journal of Geometric Analysis, 2018, 28 : 546 - 586
[28] Index of Equivariant Callias-Type Operators and Invariant Metrics of Positive Scalar Curvature
Hao Guo
[J]. The Journal of Geometric Analysis, 2021, 31 : 1 - 34
[29] The Atiyah-Patodi-Singer mod k index theorem for Dirac operators over C*-algebras
Elmrabty, Adnane
[J]. MONATSHEFTE FUR MATHEMATIK, 2022, 199 (01): : 85 - 96
[30] The Atiyah-Patodi-Singer index theorem from the axial anomaly
Kobayashi, Shun K.
Yonekura, Kazuya
[J]. PROGRESS OF THEORETICAL AND EXPERIMENTAL PHYSICS, 2021, 2021 (07):

← 1 2 3 4 5 →