Definitions for gerbe

This page provides all possible meanings and translations of the word gerbe

Wiktionary

  1. gerbe(Noun)

    a (wheat) sheaf (now obsolete meaning)

  2. gerbe(Noun)

    something resembling a (wheat) sheaf in appearance

  3. gerbe(Noun)

    an abstract construction in homological algebra and geometry providing a certain type of generalisation for a sheaf

  4. Origin: Late 16th century, from French gerbe, from Frankish garba or garbe

Webster Dictionary

  1. Gerbe(noun)

    a kind of ornamental firework

Freebase

  1. Gerbe

    In mathematics, a gerbe is a construct in homological algebra and topology. Gerbes were introduced by Jean Giraud following ideas of Alexandre Grothendieck as a tool for non-commutative cohomology in degree 2. They can be seen as a generalization of principal bundles to the setting of 2-categories. Gerbes provide a convenient, if highly abstract, language for dealing with many types of deformation questions especially in modern algebraic geometry. In addition, special cases of gerbes have been used more recently in differential topology and differential geometry to give alternative descriptions to certain cohomology classes and additional structures attached to them. "Gerbe" is a French word that literally means wheat sheaf.

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