Equivariant spectral flow and equivariant η-invariants on manifolds with boundary

IF 0.6 4区 数学 Q3 MATHEMATICS
Johnny Lim, Hang Wang
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引用次数: 0

Abstract

In this paper, we study several closely related invariants associated to Dirac operators on odd-dimensional manifolds with boundary with an action of the compact group H of isometries. In particular, the equality between equivariant winding numbers, equivariant spectral flow and equivariant Maslov indices is established. We also study equivariant η-invariants which play a fundamental role in the equivariant analog of Getzler’s spectral flow formula. As a consequence, we establish a relation between equivariant η-invariants and equivariant Maslov triple indices in the splitting of manifolds.

有边界流形上的等变谱流和等变η变量
在本文中,我们研究了与奇维流形上的狄拉克算子相关的几个密切相关的不变式,这些奇维流形的边界具有紧凑组 H 的等效作用。特别是,我们建立了等变缠绕数、等变谱流和等变马斯洛夫指数之间的相等关系。我们还研究了等变量 η-不变式,它在格茨勒谱流公式的等变量类比中起着基本作用。因此,我们在流形分裂中建立了等η变量与等马斯洛夫三指数之间的关系。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
CiteScore
1.20
自引率
0.00%
发文量
82
审稿时长
12 months
期刊介绍: The International Journal of Mathematics publishes original papers in mathematics in general, but giving a preference to those in the areas of mathematics represented by the editorial board. The journal has been published monthly except in June and December to bring out new results without delay. Occasionally, expository papers of exceptional value may also be published. The first issue appeared in March 1990.
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