Portugaliae Mathematica

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Volume 67, Issue 4, 2010, pp. 453–483
DOI: 10.4171/PM/1873

Published online: 2010-11-24

Intrinsic characteristic classes of a local Lie group

Ender Abadoğlu[1] and Ercüment Ortaçgil[2]

(1) Yeditepe University, Kayişdaği , Istanbul, Turkey
(2) Bogaziçi University, Bebek, Istanbul, Turkey

For a local Lie group M we define cohomology classes [w2k+1] ∈ H2k+1dR  (M,ℝ). We show that [w1] is an obstruction to globalizability and give an example where [w1] ≠ 0. We also show that [w3] coincides with Godbillon–Vey class in a particular case. These classes are secondary as they emerge when curvature vanishes.

Keywords: Local Lie group, globalizable, characteristic class

Abadoğlu Ender, Ortaçgil Ercüment: Intrinsic characteristic classes of a local Lie group. Port. Math. 67 (2010), 453-483. doi: 10.4171/PM/1873