Lefschetz fibrations on adjoint orbits
Symplectic Geometry
2016-07-28 v3 Algebraic Geometry
Abstract
We prove that adjoint orbits of semisimple Lie algebras have the structure of symplectic Lefschetz fibrations. We then describe the topology of the regular and singular fibres, in particular calculating their middle Betti numbers. For the example of sl(2,C) we compute the Fukaya--Seidel category of Lagrangian vanishing cycles.
Cite
@article{arxiv.1309.4418,
title = {Lefschetz fibrations on adjoint orbits},
author = {E. Gasparim and L. Grama and L. A. B. San Martin},
journal= {arXiv preprint arXiv:1309.4418},
year = {2016}
}
Comments
Final Version in Forum Mathematicum 2015