Habermann, Matthew;
(2022)
Homological mirror symmetry for invertible polynomials in two variables.
Quantum Topology
, 13
pp. 207-253.
10.4171/QT/163.
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Abstract
In this paper, we give a proof of homological mirror symmetry for two variable invertible polynomials, where the symmetry group on the B-side is taken to be maximal. The proof involves an explicit gluing construction of the Milnor fibres, and, as an application, we prove derived equivalences between certain nodal stacky curves, some of whose irreducible components have non-trivial generic stabiliser.
| Type: | Article |
|---|---|
| Title: | Homological mirror symmetry for invertible polynomials in two variables |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.4171/QT/163 |
| Publisher version: | https://ems.press/content/serial-article-files/181... |
| Language: | English |
| Additional information: | © 2022 European Mathematical Society. Published by EMS Press. This work is licensed under a CC BY 4.0 license (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 |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10132372 |
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