Intrinsic characteristic classes of a local Lie group

Abstract

.ions { line-height: 1.8; } .ions subb { vertical-align: -1ex; margin-left: -5ex; font-size:80%;} .ions supp { vertical-align: 1ex; font-size:80%;} 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.