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 language | English |
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Pages (from-to) | 591-605 |
Number of pages | 15 |
Journal | Journal of Mathematics of Kyoto University |
Volume | 50 |
Issue number | 3 |
DOIs | |
Publication status | Published - 2010 |