Mathematics > Differential Geometry
[Submitted on 28 Jun 2024
]
Title: On Relative Cohomology in Lie Theory
Title: 关于李理论中的相对上同调
Abstract: Motivated by our attempt to understand characteristic classes of Lie groupoids and geometric structures, we are brought back to the fundamentals of the cohomology theories of Lie groupoids and algebroids. One element that was missing in the literature was the notion of relative cohomology in this setting. The main aim of this paper is to develop the structural theory of this notion, the relation between the relative cohomology of groupoids and that of algebroids via van Est maps, and to indicate how it can be used to provide an intrinsic definition of characteristic classes.
Submission history
From: Maria Amelia Salazar [view email][v1] Fri, 28 Jun 2024 18:10:23 UTC (40 KB)
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