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JOURNALS // Trudy Matematicheskogo Instituta imeni V.A. Steklova // Archive
Trudy Mat. Inst. Steklova, 2019 Volume 305, Pages 309–329 (Mi tm4012)
This article is cited in 3 papers

The Homotopy Types of Sp(2)-Gauge Groups over Closed Simply Connected Four-Manifolds

Tseleung So, Stephen Theriault

Mathematical Sciences, University of Southampton, Southampton SO17 1BJ, UK

Abstract: We determine the number of distinct homotopy types for the gauge groups of principal $\mathrm {Sp}(2)$-bundles over a closed simply connected four-manifold.

Keywords: gauge group, simply connected four-manifold, homotopy type.

UDC: 515.143

MSC: Primary 55P15, Secondary 81T13

Received: August 30, 2018
Revised: March 3, 2019
Accepted: March 13, 2019

DOI: 10.4213/tm4012


 English version: Proceedings of the Steklov Institute of Mathematics, 2019, 305, 287–304

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© Steklov Math. Inst. of RAS, 2025