In mathematics, a gerbe is a construct in homological algebra and topology. Gerbes were introduced by Jean Giraud (Giraud 1971) following ideas of Alexandre ...

21 сент. 2024 г. · Also traditionally gerbes are considered in the little (2,1)-toposes τ ≤ 1 𝒳 \tau_{\leq 1} \mathcal{X} of a topological manifold or smooth ...

A gerbe on X can refer to a stack of groupoids G on X satisfying the properties 1. X= union {U:G(U)!=emptyset} for subsets U subset= X open, and 2.

One of the achievements of algebraic topology is to breathe life into obstructions: to turn what pre- vents us from doing something into an object with.

5 мар. 2017 г. · a G-gerbe is the same thing as a fibration whose fiber is BG (the latter is the classifying space of G, also known as K(G,1)). ag.algebraic geometry - References on Gerbes - MathOverflow Understanding the definition of $G$-gerbe - MathOverflow Другие результаты с сайта mathoverflow.net

We say an algebraic stack \mathcal{X} is a gerbe if there exists a morphism \mathcal{X} \to X where X is an algebraic space which turns \mathcal{X} into a gerbe ...

We define in a global manner the notion of a connective structure for a gerbe on a space X. When the gerbe is endowed with trivializing data with respect to an ...

This is a mostly self-contained survey article about bundle gerbes and some of their recent applications in geometry, field theory, and quantisation.

14 июн. 2021 г. · This is a mostly self-contained survey article about bundle gerbes and some of their recent applications in geometry, field theory, and quantisation.

11 июн. 2001 г. · When the gerbe is endowed with trivializing data with respect to an open cover of X, we describe this connective structure in two separate ways, ...