UNSPECIFIED (1996) Real instantons, dirac operators and quaternionic classifying spaces. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 124 (7). pp. 2193-2201. ISSN 0002-9939

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Abstract

Let M(k,SO(n)) be the moduli space of based gauge equivalence classes of SO(n) instantons on principal SO(n) bundles over S-4 with first Pontryagin class p(1) = 2k. In this paper, we use a monad description (Y. Tian, The Atiyah-Jones conjecture for classical groups, preprint, S. K. Donaldson, Comm. Math. Phys. 93 (1984), 453-460) of these moduli spaces to show that in the limit over n, the moduli space is homotopy equivalent to the classifying space BSp(k). Finally, we use Dirac operators coupled to such connections to exhibit a particular and quite natural homotopy equivalence.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics
Journal or Publication Title:	PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
Publisher:	AMER MATHEMATICAL SOC
ISSN:	0002-9939
Date:	July 1996
Volume:	124
Number:	7
Number of Pages:	9
Page Range:	pp. 2193-2201
Publication Status:	Published
URI:	http://wrap.warwick.ac.uk/id/eprint/18569

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