Takahiro Matsuyuki: Graph complex and characteristic map of a fiber bundle

ABSTRACT:We construct a certain graph complex and a chain map from the complex 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 a fibration whose fiber is a 1-punctured even-dimensional manifold. For example, we shall see the case that fiber is a 1-punctured complex projective space if time allows.