The homotopy types of Sp(2)-gauge groups

Stephen D Theriault

Research output: Contribution to journalArticlepeer-review

24 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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