現代数学の系譜11 ガロア理論を読む8at MATH
現代数学の系譜11 ガロア理論を読む8 - 暇つぶし2ch597:132人目の素数さん
14/06/28 11:41:13.88
>>593 補足
Gerbes
URLリンク(en.wikipedia.org)
In mathematics, a gerbe 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.
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 (and archaic English) word that literally means wheat sheaf.


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