Departmental Bulletin Paper Derivatives of Secondary Classes and 2-Normal Bundles of Foliations

Asuke, Taro

22 ( 3 ) 2015-07-15 , Graduate School of Mathematical Sciences, The University of Tokyo , Graduate School of Mathematical Sciences, University of Tokyo
Derivatives of secondary characteristic classes for foliations are discussed. It will be shown that one can construct the derivatives in a parallel way to the standard construction of secondary characteristic classes, namely, by using connections and applying the Chern-Weil theory. Some relationship of connections in the construction and transverse TW-connections, which is significant in the study of deformations of the Godbillon-Vey class and the Bott class, are also discussed.

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