Lefschetz fibrations, Lie groupoids and noncommutative geometry
Applications of Lie theory in the symplectic and hermitian geometry of homogeneous...
| Full text | |
| Author(s): |
Gasparim, Elizabeth
;
Grama, Lino
;
Martin, Luiz A. B. San
Total Authors: 3
|
| Document type: | Journal article |
| Source: | FORUM MATHEMATICUM; v. 28, n. 5, p. 967-979, SEP 2016. |
| Web of Science Citations: | 4 |
| Abstract | |
We prove that adjoint orbits of semisimple Lie algebras have the structure of symplectic Lefschetz fibrations. We describe the topology of the regular and singular fibres, in particular we calculate their middle Betti numbers. (AU) | |
| FAPESP's process: | 14/17337-0 - Geometry and topology of homogeneous spaces |
| Grantee: | Lino Anderson da Silva Grama |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 12/10179-5 - Complex geometry motivated by mirror symmetry |
| Grantee: | Elizabeth Terezinha Gasparim |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 12/18780-0 - Geometry of control systems, dynamical and stochastics systems |
| Grantee: | Marco Antônio Teixeira |
| Support Opportunities: | Research Projects - Thematic Grants |