Journal article

Homology stability for asymptotic monopole moduli spaces

Abstract:: We prove homological stability for two different flavours of asymptotic monopole moduli spaces, namely moduli spaces of framed Dirac monopoles and moduli spaces of ideal monopoles. The former are Gibbons–Manton torus bundles over configuration spaces whereas the latter are obtained from them by replacing each circle factor of the fibre with a monopole moduli space by the Borel construction. They form boundary hypersurfaces in a partial compactification of the classical monopole moduli spaces. Our results follow from a general homological stability result for configuration spaces equipped with non-local data.

Publication status:: Published

Peer review status:: Peer reviewed

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APA Style

Palmer, M., & Tillmann, U. (2023). Homology stability for asymptotic monopole moduli spaces. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 479(2278), 20230300.

MLA Style

Palmer, M, and U Tillmann. “Homology Stability for Asymptotic Monopole Moduli Spaces.” Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol. 479, no. 2278, 2023, p. 20230300.

Chicago Style

Palmer, M, and U Tillmann. 2023. “Homology Stability for Asymptotic Monopole Moduli Spaces.” Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 479 (2278): 20230300.
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Files:: Palmer_and_Tillmann_2023_Homology_stability_for.pdf

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Publisher copy:: 10.1098/rspa.2023.0300

Authors

+ Palmer, M More by this author

Role:: Author
ORCID:: 0000-0002-1449-5767

+ Tillmann, U More by this author

Institution:: University of Oxford
Division:: MPLS
Department:: Mathematical Institute
Role:: Author

+ Unitatea Executiva pentru Finantarea Invatamantului Superior, a Cercetarii, Dezvoltarii si Inovarii More from this funder

Funder identifier:: 10.13039/501100006595
Grant:: PN-III-P4-ID-PCE-2020-2798

+ Executive Unit for Financing Higher Education, Research, Development and Innovation More from this funder

Funder identifier:: https://ror.org/01q7jq182

Publisher:: The Royal Society
Journal:: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences More from this journal
Volume:: 479
Issue:: 2278
Pages:: 20230300
Article number:: 20230300
Publication date:: 2023-10-18
Acceptance date:: 2023-09-14
DOI:: 10.1098/rspa.2023.0300
EISSN:: 1471-2946
ISSN:: 1364-5021

Language:: English
Keywords:: magnetic monopole moduli spaces

configuration spaces

homological stability
Pubs id:: 1560252
Local pid:: pubs:1560252
Source identifiers:: 3800451
Deposit date:: 2026-02-26
ARK identifier:: ark:/29072/ora_5a392ffa8c9647b285f426366fffa0a0

Terms of use

Copyright date:: 2023

Licence:: CC Attribution (CC BY)

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