Dubrovin, B., Strachan, I. A.B. , Zhang, Y. and Zuo, D. (2019) Extended affine Weyl groups of BCD-type: their Frobenius manifolds and their Landau-Ginzburg superpotentials. Advances in Mathematics, 351, pp. 897-946. (doi: 10.1016/j.aim.2019.05.030)
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Abstract
For the root systems of type Bl,Cl and Dl, we generalize the result of \cite{DZ1998} by showing the existence of Frobenius manifold structures on the orbit spaces of the extended affine Weyl groups that correspond to any vertex of the Dynkin diagram instead of a particular choice made in \cite{DZ1998}. It also depends on certain additional data. We also construct LG superpotentials for these Frobenius manifold structures.
| Item Type: | Articles |
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| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Zuo, Dr Dafeng and Strachan, Professor Ian |
| Authors: | Dubrovin, B., Strachan, I. A.B., Zhang, Y., and Zuo, D. |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Advances in Mathematics |
| Publisher: | Elsevier |
| ISSN: | 0001-8708 |
| ISSN (Online): | 1090-2082 |
| Published Online: | 29 May 2019 |
| Copyright Holders: | Copyright © 2019 Elsevier |
| First Published: | First published in Advances in Mathematics 351:897-946 |
| Publisher Policy: | Reproduced in accordance with the copyright policy of the publisher |
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