Intrinsic characteristic classes for a local Lie group

2009/12/04 by Ender Abadoğlu, Abadoglu, Ender, Ercüment H. Ortaçgil +1
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Differential Geometry (math.DG) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.0912.0855

openalex publication_date 2009/12/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For a local Lie group M we define odd order cohomology classes. The first class is an obstruction to globalizability of the local Lie group. The third class coincides with Godbillon-Vey class in a particular case. These classes are secondary as they emerge when curvature vanishes.

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