Intrinsic characteristic classes of a local Lie group
Ender Abadoğlu
Yeditepe University, Kayişdaği , Istanbul, TurkeyErcüment Ortaçgil
Bogaziçi University, Bebek, Istanbul, Turkey
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Abstract
For a local Lie group we define cohomology classes . We show that is an obstruction to globalizability and give an example where . We also show that coincides with Godbillon–Vey class in a particular case. These classes are secondary as they emerge when curvature vanishes.
Cite this article
Ender Abadoğlu, Ercüment Ortaçgil, Intrinsic characteristic classes of a local Lie group. Port. Math. 67 (2010), no. 4, pp. 453–483
DOI 10.4171/PM/1873