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math.DG2021
Principal bundle groupoids, their gauge group and their nerve
Alfonso Garmendia, Sylvie Paycha
We consider groupoids in the category of principal bundles, which we call principal bundles (PB) groupoids. Inspired by work by Th. Nikolaus and K. Waldorf, we generalise bundle ge…
math.DG2021★ 1 cited
Groupoids and singular foliations
Alfonso Garmendia
This doctoral thesis has two objectives. The first objective is to introduce a notion of equivalence for singular foliations that preserves their transverse geometry and is compati…