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Lie theory of multiplicative structures on Lie groupoids (survey)

Banff International Research Station for Mathematical Innovation and Discovery

We present a survey of results regarding multiplicative structures on Lie groupoids (e.g. tensor fields, differential forms with values in representations, foliations). The Lie theory of such structures establishes an infinitesimal vs. global correspondence with relevant data on the Lie algebroid. Our aim is to show how the simple idea of treating tensor fields as functions on Whitney sums of vector bundles allows us to unify various results on the literature as well as extend some of them to more general contexts (e.g. differential forms with values in representations up to homotopy).

Mathematics; Differential geometry; Topological groups, lie groups

video/mp4

Author affiliation: U F Rio de Janeiro

2017-10-16

Attribution-NonCommercial-NoDerivatives 4.0 International

http://hdl.handle.net/2429/63292

Unreviewed

http://creativecommons.org/licenses/by-nc-nd/4.0/