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Gerbe

In mathematics, a gerbe (/dʒɜːrb/; .mw-parser-output .IPA-label-small{font-size:85%}.mw-parser-output .references .IPA-label-small,.mw-parser-output .infobox .IPA-label-small,.mw-parser-output .navbox .IPA-label-small{font-size:100%}French: ) is a construct in homological algebra and topology. Gerbes were introduced by Jean Giraud (Giraud 1971) following…

History & Applications

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Overview

Definitions

Cohomological classification

Examples

History

Introductory articles

Applications in string theory

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Map overview Semantic statistics

Gerbe

Nodes73
Edges72
Triples78
Avg. degree1.97
Density0.027397
Components1

How this topic connects Entity context

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Gerbe

Top relations

related to Introductory articles · 18
Gerbe → AMSBundle, Bernado Uribe, Bundle Gerbes, Constructions, Ernesto Lupercio, Gerbes, Ieke, Introduction, Language, Michael Murray, Moerdijk, Nigel Hitchin, Notices, Orbifolds, Retrieved, Stacks, Stuart JohnsonAn Introduction, What
has application · 12
Gerbe → Brauer, Gives, Gluon Condensates, Group Manifolds, K-theoryLectures, Lie, Mirror, Special Lagrangian Submanifolds, Stable Singularities, String, String Theory, Very
related to Algebraic geometry · 10
Gerbe → Artin, BG, G-gerbe, G-torsor, Here, It, Let, Recall, The, There
related to Cohomological classification · 9
Gerbe → As, Aut, Eilenberg, For, Given, Maclane, Notice, Ob, One
related to history · 8
Gerbe → Brylinski, Bundle, Current, Essentially, Gerbes, Murray, One, They
related to Gerbes on a site · 4
Gerbe → Given, Ob, The, There
related to Twisted K-theory · 4
Gerbe → Bundles, K-theory, Karoubi, Twisted K-theory
related to C*-algebras · 3
Gerbe → Gerbes, Given, There
related to Gerbes on a topological space · 3
Gerbe → As, BH, The
see also · 2
Gerbe → K-theoryAlgebraic, Twisted

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Important terminology

displaystyle gerbes stack group mathcal bundles bundle space cohomology algebraic topology stacks category objects given mathbb classes root defined site

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
the String group as a gerbe Introductory articlesConstructions with Bundle Gerbes - Stuart JohnsonAn Introduction to Gerbes on Orbifoldsinstance ofand twisted K-theoryLectures on Special Lagrangian Submanifolds - Very down-to earth introduction with applications to Mirror symmetryThe basic gerbe over a compact simple Lie g…0.80text
Ernesto Lupercioinstance ofand twisted K-theoryLectures on Special Lagrangian Submanifolds - Very down-to earth introduction with applications to Mirror symmetryThe basic gerbe over a compact simple Lie g…0.80text
Bernado Uribe.What is a Gerbeinstance ofand twisted K-theoryLectures on Special Lagrangian Submanifolds - Very down-to earth introduction with applications to Mirror symmetryThe basic gerbe over a compact simple Lie g…0.80text
the String group as a gerbeinstance ofand twisted K-theoryLectures on Special Lagrangian Submanifolds - Very down-to earth introduction with applications to Mirror symmetryThe basic gerbe over a compact simple Lie g…0.80text
Gerbehas applicationStable Singularities0.60section
Gerbehas applicationString Theory0.60section
Gerbehas applicationBrauer0.60section
Gerbehas applicationGroup Manifolds0.60section
Gerbehas applicationGluon Condensates0.60section
Gerbehas applicationK-theoryLectures0.60section
Gerbehas applicationSpecial Lagrangian Submanifolds0.60section
Gerbehas applicationVery0.60section

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