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Differentiating groupoids
Du Li, Leonid Ryvkin, Arne Wessel +1
Differentiating an Lie -groupoid via the differential-geometric fat point a priori only yielads a presheaf of graded manifolds. In this article we prove that this presheaf is re…
math.DG2025
A singular Serre-Swan theorem via tepui fibrations
Alfonso Garmendia, David Miyamoto, Leonid Ryvkin
The classical Serre-Swan theorem asserts that any finitely generated projective module over the algebra of smooth functions of a manifold can be realized as the s…
math.DG2025
Universal central extension of the Lie algebra of exact divergence-free vector fields
Bas Janssens, Leonid Ryvkin, Cornelia Vizman
We construct the universal central extension of the Lie algebra of exact divergence-free vector fields, proving a conjecture by Claude Roger from 1995. The proof relies on the anal…