On the quotient of a groupoid by an action of a 2-group

Vladimir Drinfeld

On the quotient of a groupoid by an action of a 2-group

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arxiv 2504.21764 v2 pith:3BR2X27L submitted 2025-04-30 math.CT math.AGmath.NT

Vladimir Drinfeld This is my paper · ORCID

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abstract

If X is a groupoid equipped with an action of a 2-group G then one has a 2-groupoid X/G. We describe the fibers of the functor from X/G to the 1-groupoid $\pi_0(X)/\pi_0(G)$. We also give an explicit model for X/G in a certain situation.

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Ring stacks conjecturally related to the stacks $BT_n^{G,\mu}$
math.AG 2025-10 conditional novelty 6.0 of 10

This paper defines the ring stacks sRn and sR⊕n from the ring space of sheared Witt vectors and builds several explicit quasi-isomorphic models for them.

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