Spark and Deligne-Beilinson cohomology on orbifolds

JOURNAL OF GEOMETRY AND PHYSICS

卷:104

Article

Du, Cheng-Yong¹  Zhao, Xiaojuan² 

[1] Sichuan Normal Univ, Dept Math, Chengdu 610068, Peoples R China

[2] Southwest Jiaotong Univ, Dept Math, Chengdu 611756, Peoples R China

关键词: Orbifold;    Spark complex;    Deligne-Beilinson cohomology;   

DOI  :  10.1016/j.geomphys.2016.02.011

来源: Elsevier

【 摘 要 】

A homological spark complex (F-U(*), E-U(*), I-U(*)) is constructed for any good atlas U of an effective orbifold X = (X, [U]). It is proved that all these homological spark complexes are quasi-isomorphic for X. Furthermore, smooth Deligne-Beilinson cohomology H-D(p) (X, Z(q)) of X is investigated and it is shown that the ring (H) over cap*(X) of spark classes of X is isomorphic to the subring H-D(*) (X, Z(*)) of the orbifold Deligne-Beilinson cohomology ring of X. (C) 2016 Elsevier B.V. All rights reserved.

【 授权许可】

Free