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G2-instantons on noncompact G2-manifolds: results and open problems

Lotay, J; Oliveira, G; (2020) G2-instantons on noncompact G2-manifolds: results and open problems. Lectures and Surveys on G2-Manifolds and Related Topics. Fields Institute Communications , 84 pp. 287-317. 10.1007/978-1-0716-0577-6_13.

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Abstract

We survey the known existence and non-existence results for G2-instantons on non-compact cohomogeneity-1 G2-manifolds and their consequences, including an explicit example of a family of G2-instantons where bubbling, removable singularities and conservation of energy phenomena occur. We also describe several open problems for future research.

Type: Article
Title: G2-instantons on noncompact G2-manifolds: results and open problems
DOI: 10.1007/978-1-0716-0577-6_13
Publisher version: https://doi.org/10.1007/978-1-0716-0577-6_13
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.
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.ucl.ac.uk/id/eprint/10067480
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