4 papers
Obstruction of -algebra models and characteristic classes
Takahiro Matsuyuki
In this paper, we consider an obstruction-theoretical construction of characteristic classes of fiber bundles by simplicial method. We can get a certain obstruction class for a def…
Double graph complex and characteristic classes of fibrations
Takahiro Matsuyuki
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 derivati…
Homotopy theory of -algebras and characteristic classes of fiber bundles
Hiroshige Kajiura, Takahiro Matsuyuki, Yuji Terashima
In this paper we give a Chern-Weil-type construction of characteristic classes of fiber bundles, based on homotopy theory of C-infinity algebras. Our idea is to replace a family of…
Characteristic classes of fiber bundles
Takahiro Matsuyuki, Yuji Terashima
In this paper, we construct new characteristic classes of fiber bundles via flat connections with values in infinite-dimensional Lie algberas of derivations. In fact, choosing a fi…