An L2-Index Formula for Monopoles with Dirac-Type Singularities

被引：0

作者：

Yoshino, Masaki ^{[1
]}

机构：

[1] Kyoto Univ, Res Inst Math Sci, Kyoto, Japan

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2020年 / 375卷 / 03期

关键词：

INDEX THEOREM;

D O I：

10.1007/s00220-019-03574-6

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We prove the Fredholmness of the Dirac operators associated to monopoles with Dirac-type singularities on any complete oriented 3-dimensional Riemannian manifolds. We also calculate their L-2-indices.

引用

页码：1811 / 1832

页数：22

共 50 条

[1] L2-INDEX FORMULAS FOR PERTURBED DIRAC OPERATORS
ANGHEL, N
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1990, 128 (01) : 77 - 97
[2] MASS LIMIT FOR DIRAC-TYPE MAGNETIC MONOPOLES
GRAF, S
SCHAFER, A
GREINER, W
[J]. PHYSICS LETTERS B, 1991, 262 (04) : 463 - 466
[3] L2-INDEX AND THE SELBERG TRACE FORMULA
BARBASCH, D
MOSCOVICI, H
[J]. JOURNAL OF FUNCTIONAL ANALYSIS, 1983, 53 (02) : 151 - 201
[4] L2-INDEX FOR CERTAIN DIRAC-SCHRODINGER OPERATORS
BRUNING, J
MOSCOVICI, H
[J]. DUKE MATHEMATICAL JOURNAL, 1992, 66 (02) : 311 - 336
[5] L2-index formula for proper cocompact group actions
Wang, Hang
[J]. JOURNAL OF NONCOMMUTATIVE GEOMETRY, 2014, 8 (02) : 393 - 432
[6] Observable Dirac-type singularities in Berry's phase and the monopole
Bhandari, R
[J]. PHYSICAL REVIEW LETTERS, 2002, 88 (10) : 4 - 100403
[7] L2-INDEX AND RESONANCES
MULLER, W
[J]. LECTURE NOTES IN MATHEMATICS, 1988, 1339 : 203 - 211
[8] Finiteness of the L2-index of the Dirac operator of generalized Euclidean Taub-NUT metrics
Moroianu, Sergiu
Visinescu, Mihai
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2006, 39 (21): : 6575 - 6581
[9] An L2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$L^2$$\end{document}-Index Formula for Monopoles with Dirac-Type Singularities
Masaki Yoshino
[J]. Communications in Mathematical Physics, 2020, 375 (3) : 1811 - 1832
[10] L2-kernels of Dirac-type operators on monopole moduli spaces
Moore, Gregory W.
Royston, Andrew B.
Van den Bleeken, Dieter
[J]. STRING-MATH 2015, 2017, 96 : 177 - 190

← 1 2 3 4 5 →