Gerbe - Wikipedia
网页In mathematics, a gerbe (/ dʒɜːrb /; French: [ʒɛʁb]) is a construct in homological algebra and topology. Gerbes were introduced by Jean Giraud (Giraud 1971) following ideas of Alexandre Grothendieck as a tool for non-commutative cohomology in degree 2.
GERBE - 百度百科
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gerbe in nLab
网页2024年9月21日 · Definition. Given an (∞,1)-topos 𝒳 \mathcal {X}, a gerbe in 𝒳 \mathcal {X} is an object 𝒢 ∈ 𝒳 \mathcal {G} \in \mathcal {X} that is. 1-connective (= connected). The first condition says that a gerbe is an object in the (2,1)-topos τ ≤ 1 𝒳 ↪ 𝒳 \tau_ {\leq 1 } \mathcal {X} \hookrightarrow \mathcal {X} inside 𝒳 ...
Gerbe -- from Wolfram MathWorld
网页6 天之前 · Gerbe. There are no fewer than two closely related but somewhat different notions of gerbe in mathematics. For a fixed topological space , a gerbe on can refer to a stack of groupoids on satisfying the properties. 1. for subsets open, and.
Gerbe (lingerie) - Wikipedia
网页Gerbe is a French marketer and manufacturer of hosiery and lingerie . Information. The Gerbe brand was founded in the year of 1904 by Stéphane Gerbe. The factory for this company is located in Saint-Vallier in the south of Burgundy, France.
Non-abelian Cohomology II: Gerbes - 知乎 - 知乎专栏
网页对这个新的 stack 的研究诱导我们定义如下 gerbe 的概念： Definition 1: A gerbe on a site \mathcal{C} (a category with Grothendieck topology) is a stack of groupoids \mathcal{G} which is locally non-empty and locally connected.
网页The best-known example of a gerbe with con-nection arises when the manifold M is a compact simple Lie group G. There is a natural gerbe on G whose curvature is a multiple of the bi-invariant 3-form B(X,[Y,Z]), where B is the Killing form— for G …
Section 101.28 (06QB): Gerbes—The Stacks project - Columbia …
网页An important type of algebraic stack are the stacks of the form [B/G] where B is an algebraic space and G is a flat and locally finitely presented group algebraic space over B (acting trivially on B), see Criteria for Representability, Lemma 97.18.3. It turns out that an algebraic stack is a gerbe when it locally in the fppf topology is of this ...
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