The homotopy types of Sp(2)-gauge groups

Stephen D Theriault

Research output: Contribution to journalArticle

18 Citations (Scopus)

Abstract

There are countably many equivalence classes of principal Sp(2) -bundles over S 4 , classified by the integer value second Chern class. We show that the corresponding gauge groups G k have the property that if there is a homotopy equivalence G k ¿G k ' , then (40,k)=(40,k ' ) , and we prove a partial converse by showing that if (40,k)=(40,k ' ) , then G k and G k ' are homotopy equivalent when localized rationally or at any prime.
Original languageEnglish
Pages (from-to)591-605
Number of pages15
JournalJournal of Mathematics of Kyoto University
Volume50
Issue number3
DOIs
Publication statusPublished - 2010

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Homotopy Equivalence
Chern Classes
Homotopy Type
Gauge Group
Equivalence class
Converse
Homotopy
Bundle
Partial
Integer

Cite this

The homotopy types of Sp(2)-gauge groups. / Theriault, Stephen D.

In: Journal of Mathematics of Kyoto University, Vol. 50, No. 3, 2010, p. 591-605.

Research output: Contribution to journalArticle

Theriault, Stephen D. / The homotopy types of Sp(2)-gauge groups. In: Journal of Mathematics of Kyoto University. 2010 ; Vol. 50, No. 3. pp. 591-605.
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