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arXiv · 1805.05709

Double graph complex and characteristic classes of fibrations

Takahiro Matsuyuki
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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.

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Takahiro Matsuyuki. 2018-05-15. Double graph complex and characteristic classes of fibrations. https://doi.org/10.2140/pjm.2019.301.547

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