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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2019, Volume 305, Pages 309–329
DOI: https://doi.org/10.4213/tm4012 (Mi tm4012) 		 
This article is cited in 3 scientific papers (total 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
Full-text PDF (295 kB) Citations (3)
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DOI: https://doi.org/10.4213/tm4012
Abstract: We determine the number of distinct homotopy types for the gauge groups of principal Sp(2)Sp(2)-bundles over a closed simply connected four-manifold.
Keywords: gauge group, simply connected four-manifold, homotopy type.
Received: August 30, 2018
Revised: March 3, 2019
Accepted: March 13, 2019
English version:
Proceedings of the Steklov Institute of Mathematics, 2019, Volume 305, Pages 287–304
DOI: https://doi.org/10.1134/S0081543819030179
Bibliographic databases:
Document Type: Article
UDC: 515.143
MSC: Primary 55P15, Secondary 81T13
Language: Russian
Citation: Tseleung So, Stephen Theriault, “The Homotopy Types of Sp(2)-Gauge Groups over Closed Simply Connected Four-Manifolds”, Algebraic topology, combinatorics, and mathematical physics, Collected papers. Dedicated to Victor Matveevich Buchstaber, Corresponding Member of the Russian Academy of Sciences, on the occasion of his 75th birthday, Trudy Mat. Inst. Steklova, 305, Steklov Math. Inst. RAS, Moscow, 2019, 309–329; Proc. Steklov Inst. Math., 305 (2019), 287–304
Citation in format AMSBIB
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\paper The Homotopy Types of Sp(2)-Gauge Groups over Closed Simply Connected Four-Manifolds
\inbook Algebraic topology, combinatorics, and mathematical physics
\bookinfo Collected papers. Dedicated to Victor Matveevich Buchstaber, Corresponding Member of the Russian Academy of Sciences, on the occasion of his 75th birthday
\serial Trudy Mat. Inst. Steklova
\yr 2019
\vol 305
\pages 309--329
\publ Steklov Math. Inst. RAS
\publaddr Moscow
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  • https://doi.org/10.4213/tm4012
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    • This publication is cited in the following 3 articles:
    1. Sajjad Mohammadi, “The homotopy types of SU(n)-gauge groups over CP3”, Boll Unione Mat Ital, 2024  crossref
    2. Tseleung So, Stephen Theriault, “The suspension of a 4-manifold and its applications”, Isr. J. Math., 2024  crossref
    3. S. Rea, “Homotopy types of Spinc(n)-gauge groups over S4”, European Journal of Mathematics, 9:3 (2023), 48  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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