Abstract
There are countably many equivalence classes of principal -bundles over , classified by the integer value second Chern class. We show that the corresponding gauge groups have the property that if there is a homotopy equivalence , then , and we prove a partial converse by showing that if , then and are homotopy equivalent when localized rationally or at any prime.
Citation
Stephen D. Theriault. "The homotopy types of -gauge groups." Kyoto J. Math. 50 (3) 591 - 605, Fall 2010. https://doi.org/10.1215/0023608X-2010-005
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