A groupoid proof of the Lefschetz fixed point formula

JOURNAL OF GEOMETRY AND PHYSICS

卷:161

Article

Yi, Zelin¹ 

[1] Nankai Univ, Chern Inst Math, Tianjin 300071, Peoples R China

关键词: Lefschetz fixed point formula;    Tangent groupoid;    Localization;   

DOI  :  10.1016/j.geomphys.2020.104036

来源: Elsevier

【 摘 要 】

The purpose of this article is to present a Groupoid proof'' to the Lefschetz fixed point formula for elliptic complexes whose differentials are of order one. We shall define a relative version of tangent groupoid which resemble the appropriate localization phenomena, describe the corresponding groupoid algebra and explain the relation with the Lefschetz fixed point formula. (C) 2020 Elsevier B.V. All rights reserved.

【 授权许可】

Free