Real gerbes;
adaptations;
holonomy form;
Cheeger-Simons;
map space;
ANALYTIC-TORSION;
BUNDLES;
D O I:
10.1142/S0219199709003302
中图分类号:
O29 [应用数学];
学科分类号:
070104 ;
摘要:
We study geometry on real gerbes in the spirit of the Cheeger-Simons theory. The concepts of adaptations and holonomy forms are introduced for flat connections on real gerbes. Their relations to complex gerbes with connections are presented, as well as results in loop and map spaces.