98 citations · 284 across the 17 of their papers we have counts for
22 papers
Galois theory of differential schemes
Ivan Tomašić, Behrang Noohi
Since 1883, Picard-Vessiot theory had been developed as the Galois theory of differential field extensions associated to linear differential equations. Inspired by categorical Galo…
Twisted loop transgression and higher Jandl gerbes over finite groupoids
Behrang Noohi, Matthew B. Young
Given a double cover of finite groupoids, we explicitly construct twisted loop transgression maps, and , thereby ass…
Moduli of non-commutative polarized schemes
Kai Behrend, Behrang Noohi
We construct, using geometric invariant theory, a quasi-projective Deligne-Mumford stack of stable graded algebras. We also construct a derived enhancement, which classifies twiste…
Singular chains on topological stacks
Thomas Coyne, Behrang Noohi
We extend the functor Sing of singular chains to the category of topological stacks and establish its main properties. We prove that Sing respects weak equivalences and takes a mor…
Group actions on stacks and applications to equivariant string topology for stacks
Gregory Ginot, Behrang Noohi
This paper is a continuations of the project initiated in the book string topology for stacks. We construct string operations on the SO(2)-equivariant homology of the (free) loop s…
Fibrations of topological stacks
Behrang Noohi
In this note we define fibrations of topological stacks and establish their main properties. We prove various standard results about fibrations (fiber homotopy exact sequence, Lera…