Double graph complex and characteristic classes of fibrations
Algebraic Topology
2019-10-30 v2
Abstract
In this paper, we construct a double chain complex generated by certain graphs and a chain map from that to the Chevalley-Eilenberg double complex of the dgl of symplectic derivations on a free dgl. It is known that the target of the map is related to characteristic classes of fibrations. We can describe some characteristic classes of fibrations whose fiber is a 1-punctured even-dimensional manifold by linear combinations of graphs though the cohomology of the dgl of derivations.
Keywords
Cite
@article{arxiv.1805.05709,
title = {Double graph complex and characteristic classes of fibrations},
author = {Takahiro Matsuyuki},
journal= {arXiv preprint arXiv:1805.05709},
year = {2019}
}
Comments
19 pages, 7 figures