Stein, J;
(2023)
SU(2)2
-Invariant Gauge Theory on Asymptotically Conical Calabi–Yau 3-Folds.
Journal of Geometric Analysis
, 33
(4)
, Article 121. 10.1007/s12220-022-01168-8.
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Abstract
We give a complete description of the behaviour of Calabi–Yau instantons and monopoles with an SU(2) 2-symmetry, on Calabi–Yau 3-folds with asymptotically conical geometry and SU(2) 2 acting with co-homogeneity one. We consider gauge theory on the smoothing and small resolution of the conifold, and on the canonical bundle of CP1× CP1, with their known asymptotically conical co-homogeneity one Calabi–Yau metrics, and find new one-parameter families of invariant instantons. We also entirely classify the relevant moduli-spaces of instantons and monopoles satisfying a natural curvature decay condition, and show that the expected bubbling phenomena occur in these families of instantons.
| Type: | Article |
|---|---|
| Title: | SU(2)2 -Invariant Gauge Theory on Asymptotically Conical Calabi–Yau 3-Folds |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1007/s12220-022-01168-8 |
| Publisher version: | https://doi.org/10.1007/s12220-022-01168-8 |
| Language: | English |
| Additional information: | This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/. |
| Keywords: | Gauge Theory, Co-homogeneity one, Calabi–Yau 3-folds |
| UCL classification: | UCL 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/10165472 |
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