Doan, A;
Walpuski, T;
(2023)
Equivariant Brill-Noether theory for elliptic operators and superrigidity of J-holomorphic maps.
Forum of Mathematics, Sigma
, 11
, Article e3. 10.1017/fms.2022.104.
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Abstract
The space of Fredholm operators of fixed index is stratified by submanifolds according to the dimension of the kernel. Geometric considerations often lead to questions about the intersections of concrete families of elliptic operators with these submanifolds: Are the intersections nonempty? Are they smooth? What are their codimensions? The purpose of this article is to develop tools to address these questions in equivariant situations. An important motivation for this work are transversality questions for multiple covers of J-holomorphic maps. As an application, we use our framework to give a concise exposition of Wendl's proof of the superrigidity conjecture.
| Type: | Article |
|---|---|
| Title: | Equivariant Brill-Noether theory for elliptic operators and superrigidity of J-holomorphic maps |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1017/fms.2022.104 |
| Publisher version: | https://doi.org/10.1017/fms.2022.104 |
| Language: | English |
| Additional information: | © The Author(s) 2023. Published by Cambridge University Press. This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (https://creativecommons.org/licenses/by/4.0/). |
| 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/10165262 |
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