Connections on decorated path space bundles

JOURNAL OF GEOMETRY AND PHYSICS

卷:112

Article

Chatterjee, Saikat¹  Lahiri, Amitabha²  Sengupta, Ambar N.³ 

[1] Indian Inst Sci Educ & Res, Sch Math, CET Campus, Thiruvananthapuram 695016, Kerala, India

[2] SN Bose Natl Ctr Basic Sci, Block JD,Sect 3, Kolkata 700098, W Bengal, India

[3] Univ Connecticut, Dept Math, Storrs, CT 06269 USA

关键词: Bundles;    Connection forms;    Path spaces;    Categorical geometry;   

DOI  :  10.1016/j.geomphys.2016.11.002

来源: Elsevier

【 摘 要 】

For a principal bundle P -> M equipped with a connection (A) over bar, we study an infinite dimensional bundle (P(A) over barP)-P-dec over the space of paths on M, with the points of (P(A) over barP)-P-dec being horizontal paths on P decorated with elements of a second structure group. We construct parallel transport processes on such bundles and study holonomy bundles in this setting. (C) 2016 Elsevier B.V. All rights reserved.

【 授权许可】

Free