Foscolo, L;
(2017)
A Gluing Construction for Periodic Monopoles.
International Mathematics Research Notices
(24)
pp. 7504-7550.
10.1093/imrn/rnw247.
Preview |
Text
A gluing construction for periodic monopoles - Final.pdf - Accepted Version Download (559kB) | Preview |
Abstract
In [4] and [6] Cherkis and Kapustin introduced the study of periodic monopoles (with singularities), that is, monopoles on R^{2}×S^{1} possibly singular at a finite collection of points. Four-dimensional moduli spaces of periodic monopoles with singularities are expected to provide examples of gravitational instantons, that is, complete hyperkähler four-manifolds with finite energy. In a previous paper [9] we proved that the moduli space of charge k periodic monopoles with n singularities is either empty or generically a smooth hyperkähler manifold of dimension 4(k−1). In this paper we settle the existence question, constructing periodic monopoles (with singularities) by gluing methods.
| Type: | Article |
|---|---|
| Title: | A Gluing Construction for Periodic Monopoles |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1093/imrn/rnw247 |
| Publisher version: | https://doi.org/10.1093/imrn/rnw247 |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. |
| Keywords: | Science & Technology, Physical Sciences, Mathematics |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
| URI: | https://discovery-pp.ucl.ac.uk/id/eprint/10082205 |
Archive Staff Only
 |
View Item |
