Pech, Clelia, Rietsch, Konstanze (2018) A comparison of Landau-Ginzburg models for odd-dimensional Quadrics. Bulletin of the Institute of Mathematics Academia Sinica, 13 (3). pp. 249-291. ISSN 2304-7909. E-ISSN 2304-7895. (doi:10.21915/BIMAS.2018301) (KAR id:51113)
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Official URL: https://doi.org/10.21915/BIMAS.2018301 |
Abstract
In [Rie08], the second author defined a Landau-Ginzburg model for homogeneous spaces G/P, as a regular function on an affine subvariety of the Langlands dual group. In this paper, we reformulate this LG model (X^, W_t) in the case of the odd-dimensional quadric, as a rational function on a Langlands dual projective space, in the spirit of work by R. Marsh and the second author for type A Grassmannians and by both authors for Lagrangian Grassmannians. We also compare this LG model with the one obtained independently by Gorbounov and Smirnov, and we use this comparison to deduce part of a conjecture of the second author for odd-dimensional quadrics.
Item Type: | Article |
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DOI/Identification number: | 10.21915/BIMAS.2018301 |
Uncontrolled keywords: | mirror symmetry; quadrics |
Subjects: | Q Science > QA Mathematics (inc Computing science) > QA564 Algebraic Geometry |
Divisions: | Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science |
Funders: | Leverhulme Trust (https://ror.org/012mzw131) |
Depositing User: | Clelia Pech |
Date Deposited: | 21 Oct 2015 10:41 UTC |
Last Modified: | 04 Mar 2024 18:45 UTC |
Resource URI: | https://kar.kent.ac.uk/id/eprint/51113 (The current URI for this page, for reference purposes) |
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