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

Autor(es)

Ballico, E. ^[1] ; Barmeier, S. ^[2] ; Gasparim, E. ^[3] ; Grama, L. ^[4] ; San Martin, L. A. B. ^[4]

Afiliação do(s) autor(es)

^[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

• Tipo de documento: Artigo Científico
• Fonte: MANUSCRIPTA MATHEMATICA; v. 158, n. 1-2, p. 85-101, JAN 2019.
• Citações Web of Science: 1

Resumo

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)

• Processo FAPESP: 16/22755-1 - Tópicos em geometria de espaços homogêneos
• Beneficiário: Lino Anderson da Silva Grama
• Modalidade de apoio: Auxílio à Pesquisa - Regular