Zobrazeno 1 - 10
of 64
pro vyhledávání: '"Noohi, Behrang"'
Autor:
Tomašić, Ivan, Noohi, Behrang
Since 1883, Picard-Vessiot theory had been developed as the Galois theory of differential field extensions associated to linear differential equations. Inspired by categorical Galois theory of Janelidze, and by using novel methods of precategorical d
Externí odkaz:
http://arxiv.org/abs/2407.21147
Autor:
Noohi, Behrang, Young, Matthew B.
Publikováno v:
Algebr. Geom. Topol. 22 (2022) 1663-1712
Given a double cover $\pi: \mathcal{G} \rightarrow \hat{\mathcal{G}}$ of finite groupoids, we explicitly construct twisted loop transgression maps, $\tau_{\pi}$ and $\tau_{\pi}^{ref}$, thereby associating to a Jandl $n$-gerbe $\hat{\lambda}$ on $\hat
Externí odkaz:
http://arxiv.org/abs/1910.01422
Autor:
Behrend, Kai, Noohi, Behrang
We construct, using geometric invariant theory, a quasi-projective Deligne-Mumford stack of stable graded algebras. We also construct a derived enhancement, which classifies twisted bundles of stable graded A-infinity-algebras. The tangent complex of
Externí odkaz:
http://arxiv.org/abs/1507.07054
Autor:
Coyne, Thomas, Noohi, Behrang
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 morphism of topological stacks that is both a Serre and a Reedy fibration
Externí odkaz:
http://arxiv.org/abs/1502.04995
Autor:
Ginot, Gregory, Noohi, Behrang
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 space $L(X)$ of an oriented differentiable stack $X$ and show that $H^{
Externí odkaz:
http://arxiv.org/abs/1206.5603
Autor:
Noohi, Behrang
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, Leray-Serre and Eilenberg-Moore spectral sequences, etc.). We prove variou
Externí odkaz:
http://arxiv.org/abs/1010.1748
Autor:
Noohi, Behrang
Publikováno v:
Compositio Math. 149 (2013) 264-294
We show how to integrate a weak morphism of Lie algebra crossed-modules to a weak morphism of Lie 2-groups. To do so we develop a theory of butterflies for 2-term L_infty algebras. In particular, we obtain a new description of the bicategory of 2-ter
Externí odkaz:
http://arxiv.org/abs/0910.1818
Autor:
Aldrovandi, Ettore, Noohi, Behrang
Publikováno v:
Advances in Mathematics 225 (2010), 922-976
We study torsors over 2-groups and their morphisms. In particular, we study the first non-abelian cohomology group with values in a 2-group. Butterfly diagrams encode morphisms of 2-groups and we employ them to examine the functorial behavior of non-
Externí odkaz:
http://arxiv.org/abs/0909.3350
Autor:
Noohi, Behrang
We compare three different ways of defining group cohomology with coefficients in a crossed-module: 1) explicit approach via cocycles; 2) geometric approach via gerbes; 3) group theoretic approach via butterflies. We discuss the case where the crosse
Externí odkaz:
http://arxiv.org/abs/0902.0161
Autor:
Noohi, Behrang
We prove that the mapping stack Map(Y,X) of topological stacks X and Y is again a topological stack if Y admits a compact groupoid presentation. If Y admits a locally compact groupoid presentation, we show that Map(Y,X) is a paratopological stack. In
Externí odkaz:
http://arxiv.org/abs/0809.2373