Homology stability for asymptotic monopole moduli spaces-Reference-Cited by-同舟云学术

Homology stability for asymptotic monopole moduli spaces

Published:2023-10 Issue:2278 Volume:479 Page:
ISSN:1364-5021
Container-title:Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
language:en
Short-container-title:Proc. R. Soc. A.

Author:

Palmer Martin¹^ORCID,Tillmann Ulrike²³

Affiliation:

1. Institutul de Matematică Simion Stoilow al Academiei Române,21 Calea Griviei, Bucharest, Romania

2. Mathematical Institute, University of Oxford, Andrew Wiles Building, Oxford OX2 6GG, UK

3. Isaac Newton Institute, University of Cambridge, Cambridge CB3 0EH, UK

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.

Funder

Unitatea Executiva pentru Finantarea Invatamantului Superior, a Cercetarii, Dezvoltarii si Inovarii

Publisher

The Royal Society

Subject

General Physics and Astronomy,General Engineering,General Mathematics

Link

https://royalsocietypublishing.org/doi/pdf/10.1098/rspa.2023.0300

Reference20 articles.

1. Nahm's equations and the classification of monopoles

2. The topology of spaces of rational functions

3. The topology of rational functions and divisors of surfaces

4. The Homology of Iterated Loop Spaces

5. Partial compactification of monopoles and metric asymptotics;Kottke C;Mem. Amer. Math. Soc.,2022