2018
Ballico, E.; Barmeier, S.; Gasparim, E.; Grama, Lino; Martin, L. A. B. San
A Lie theoretical construction of a Landau–Ginzburg model without projective mirrors Journal Article
Em: manuscripta mathematica, vol. 158, pp. 85–101, 2018.
Resumo | Links | BibTeX | Tags: Landau–Ginzburg
@article{nokey,
title = {A Lie theoretical construction of a Landau\textendashGinzburg model without projective mirrors},
author = {E. Ballico and S. Barmeier and E. Gasparim and Lino Grama and L. A. B. San Martin },
url = {https://link.springer.com/article/10.1007/s00229-018-1024-1},
doi = {https://doi.org/10.1007/s00229-018-1024-1},
year = {2018},
date = {2018-05-22},
journal = {manuscripta mathematica},
volume = {158},
pages = {85\textendash101},
abstract = {We describe the Fukaya\textendashSeidel category of a Landau\textendashGinzburg 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.},
keywords = {Landau\textendashGinzburg},
pubstate = {published},
tppubtype = {article}
}
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.
2017
Ballico, E.; Gasparim, E.; Grama, Lino; Martin, L. A. B. San
Some Landau–Ginzburg models viewed as rational maps Journal Article
Em: Indagationes Mathematicae, vol. 28, iss. 3, pp. 615-628, 2017.
Resumo | Links | BibTeX | Tags: Landau–Ginzburg
@article{nokey,
title = {Some Landau\textendashGinzburg models viewed as rational maps},
author = {E. Ballico and E. Gasparim and Lino Grama and L.A.B. San Martin},
url = {https://www.sciencedirect.com/science/article/pii/S0019357717300150?via%3Dihub},
doi = {https://doi.org/10.1016/j.indag.2017.01.007},
year = {2017},
date = {2017-05-18},
journal = {Indagationes Mathematicae},
volume = {28},
issue = {3},
pages = {615-628},
abstract = {Gasparim, Grama and San Martin (2016) showed that height functions give adjoint orbits of semisimple Lie algebras the structure of symplectic Lefschetz fibrations (superpotential of the LG model in the language of mirror symmetry). We describe how to extend the superpotential to compactifications. Our results explore the geometry of the adjoint orbit from 2 points of view: algebraic geometry and Lie theory.},
keywords = {Landau\textendashGinzburg},
pubstate = {published},
tppubtype = {article}
}
Gasparim, Grama and San Martin (2016) showed that height functions give adjoint orbits of semisimple Lie algebras the structure of symplectic Lefschetz fibrations (superpotential of the LG model in the language of mirror symmetry). We describe how to extend the superpotential to compactifications. Our results explore the geometry of the adjoint orbit from 2 points of view: algebraic geometry and Lie theory.