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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

A Lie theoretical construction of a Landau-Ginzburg model without projective mirrors

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Author(s):
Ballico, E. [1] ; Barmeier, S. [2] ; Gasparim, E. [3] ; Grama, L. [4] ; San Martin, L. A. B. [4]
Total Authors: 5
Affiliation:
[1] Univ Trento, Dept Math, I-38050 Trento - Italy
[2] Westfalische Wilhelms Univ Munster, Math Inst, Einsteinstr 62, D-48149 Munster - Germany
[3] Univ Catolica Norte, Dept Math, Av Angamos 0600, Antofagasta - Chile
[4] Univ Estadual Campinas, IMECC, Dept Matemat, Rua Sergio Buarque de Holanda 651, BR-13083859 Campinas, SP - Brazil
Total Affiliations: 4
Document type: Journal article
Source: MANUSCRIPTA MATHEMATICA; v. 158, n. 1-2, p. 85-101, JAN 2019.
Web of Science Citations: 1
Abstract

We describe the Fukaya-Seidel category of a Landau-Ginzburg model LG(2) for the semisimple adjoint orbit of sl(2,C). We prove that this category is equivalent to a full triangulated subcategory of the category of coherent sheaves on the second Hirzebruch surface. We show that no projective variety can be mirror to LG(2), and that this remains so after compactification. (AU)

FAPESP's process: 16/22755-1 - Topics on geometry of homogeneous spaces
Grantee:Lino Anderson da Silva Grama
Support Opportunities: Regular Research Grants