Derivatives of Secondary Classes and $\mathbf 2$-Normal Bundles of Foliations
Vol. 22 (2015), No. 3, Page 893–937.
Asuke, Taro
Derivatives of Secondary Classes and $\mathbf 2$-Normal Bundles of Foliations
[Full Article (PDF)] [MathSciNet Review (HTML)] [MathSciNet Review (PDF)]
Abstract:
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.
Keywords: Foliations, characteristic classes, deformations.
Mathematics Subject Classification (2010): Primary 58H10; Secondary 57R30, 57R32, 58H15.
Mathematical Reviews Number: MR3408077
Received: 2014-07-01
