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String group

In topology, a branch of mathematics, a string group is an infinite-dimensional group String ⁡ ( n ) {\displaystyle \operatorname {String} (n)} introduced by Stolz (1996) as a 3 {\displaystyle 3} -connected cover of a spin group. A string manifold is a manifold with a lifting of its frame bundle to a string group bundle. This means that in addition to…

Intuition for the string group, Overview & Fivebrane group and higher groups

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Intuition for the string group

Homotopy equivalencesClassifying spaceGroup extensionHigher group theoryGroupoid
7 related topics

Overview

TopologyMathematicsStolz (1996)3 {\displaystyle 3} -connectedSpin group
16 related topics

Fivebrane group and higher groups

Higher groups
1 related topics

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Overview

Intuition for the string group

Fivebrane group and higher groups

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String group

Nodes28
Edges27
Triples50
Avg. degree1.93
Density0.071429
Components1

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String group

Top relations

related to References · 37
String group → André, BF01446319, Bibcode, Cambridge University Press, CBO9780511526398, Christoph, Christopher, Douglas, Henriques, Hill, Homological, Int, International Mathematics Research Notices, ISBN, ISSN, Lecture Note Ser, London Math, Math, Mathematische Annalen, Michael
related to Fivebrane group and higher groups · 7
String group → Fivebrane, It, Note, Spin, String, The, Whitehead
related to External links · 4
String group → Baez, Higher Gauge Theory, String, String GroupFrom Loop Groups
is a · 2
String group → entry in the Whitehead tower, infinite-dimensional group String

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Important terminology

string group displaystyle operatorname mathbb spin homotopy tower groups fivebrane pi whitehead higher theory space exact eilenberg maclane killing manifold

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
String groupis ainfinite-dimensional group String0.90text
String groupis aentry in the Whitehead tower0.90text
String grouprelated to External linksBaez0.60section
String grouprelated to External linksHigher Gauge Theory0.60section
String grouprelated to External linksString GroupFrom Loop Groups0.60section
String grouprelated to External linksString0.60section
String grouprelated to Fivebrane group and higher groupsThe0.60section
String grouprelated to Fivebrane group and higher groupsSpin0.60section
String grouprelated to Fivebrane group and higher groupsString0.60section
String grouprelated to Fivebrane group and higher groupsWhitehead0.60section
String grouprelated to Fivebrane group and higher groupsIt0.60section
String grouprelated to Fivebrane group and higher groupsFivebrane0.60section

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