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Homotopy types of $\mathrm{Spin}^c(n)$-gauge groups over $S^4$

Autor: Rea, Simon

The gauge group of a principal $G$-bundle $P$ over a space $X$ is the group of $G$-equivariant homeomorphisms of $P$ that cover the identity on $X$. We consider the gauge groups of bundles over $S^4$ with $\mathrm{Spin}^c(n)$, the complex spin group,

Externí odkaz: http://arxiv.org/abs/2107.06000

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Homotopy types of gauge groups of $\mathrm{PU}(p)$-bundles over spheres

Autor: Rea, Simon

We examine the relation between the gauge groups of $\mathrm{SU}(n)$- and $\mathrm{PU}(n)$-bundles over $S^{2i}$, with $2\leq i\leq n$, particularly when $n$ is a prime. As special cases, for $\mathrm{PU}(5)$-bundles over $S^4$, we show that there is

Externí odkaz: http://arxiv.org/abs/2004.04925

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Homotopy types of Spin c(n) -gauge groups over S4

Autor: Rea, Simon

The gauge group of a principal G-bundle P over a space X is the group of G-equivariant homeomorphisms of P that cover the identity on X. We consider the gauge groups of bundles over S4 with Spin c(n) , the complex spin group, as structure group and s

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=od_______348::eafd1b573cc595d875b87d4983572dbf
https://eprints.soton.ac.uk/479011/

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Akademický článek

Homotopy types of Spinc(n)-gauge groups over S4.

Autor: Rea, Simon

Publikováno v: European Journal of Mathematics; Sep2023, Vol. 9 Issue 3, p1-18, 18p

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Homotopy types of gauge groups of principal bundles with certain non-simply connected structure groups

Autor: Rea, Simon

The gauge group of a principal G-bundle P over a space X is the group of G-equivariant homeomorphisms of P that cover the identity on X. To date, the study of the homotopy theory of gauge groups has been focused primarily on principal bundles whose s

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=od_______348::51c732c52a10efee72e24389126d8fc8
https://eprints.soton.ac.uk/467266/

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The Research Schools Programme in Opportunity Areas: Investigating the Impact of Research Schools in Promoting Better Outcomes in Schools

Autor: Gu, Qing, Seymour, Kathy, Rea, Simon, Knight, Rupert, Ahn, Miyoung, Sammons, Pamela, Kameshwara, Kalyan Kumar, Hodgen, Jeremy

Publikováno v: Gu, Q, Seymour, K, Rea, S, Knight, R, Ahn, M, Sammons, P, Kameshwara, K K & Hodgen, J 2021, The Research Schools Programme in Opportunity Areas: Investigating the Impact of Research Schools in Promoting Better Outcomes in Schools . London . < https://d2tic4wvo1iusb.cloudfront.net/documents/pages/OA-RS-Evaluation_Final-Report_October-2021.pdf >

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=od______1378::9c1bb609d04243e342d31850907a5241
https://purehost.bath.ac.uk/ws/files/226482785/OA_RS_Evaluation_Final_Report_October_2021.pdf

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Akademický článek

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