Multitransgression and regulators
K-Theory and Homology
2008-09-23 v1 Number Theory
Abstract
In a parallel way to the work of Wang, we define higher order characteristic classes associated with the Chern character, generalizing the work of Bott-Chern and Gillet-Soul\'e on secondary characteristic classes. Our formalism is simplicial and the computations are easier. As a consequence, we obtain the comparison of Borel and Beilinson regulators and an explicit formula for the real single-valued function associated with the Grasmannian polylogarithm.
Keywords
Cite
@article{arxiv.0809.3460,
title = {Multitransgression and regulators},
author = {Nicusor Dan},
journal= {arXiv preprint arXiv:0809.3460},
year = {2008}
}