Monodromy invariants in symplectic topology
| dc.creator | Auroux, Denis | |
| dc.date | 2003-04-08 | |
| dc.date.accessioned | 2026-07-07T04:56:43Z | |
| dc.date.available | 2026-07-07T04:56:43Z | |
| dc.description | This text is a set of lecture notes for a series of four talks given at I.P.A.M., Los Angeles, on March 18-20, 2003. The first lecture provides a quick overview of symplectic topology and its main tools: symplectic manifolds, almost-complex structures, pseudo-holomorphic curves, Gromov-Witten invariants and Floer homology. The second and third lectures focus on symplectic Lefschetz pencils: existence (following Donaldson), monodromy, and applications to symplectic topology, in particular the connection to Gromov-Witten invariants of symplectic 4-manifolds (following Smith) and to Fukaya categories (following Seidel). In the last lecture, we offer an alternative description of symplectic 4-manifolds by viewing them as branched covers of the complex projective plane; the corresponding monodromy invariants and their potential applications are discussed. | |
| dc.description | 42 pages, notes of lectures given at IPAM, Los Angeles | |
| dc.identifier | https://arxiv.org/abs/math/0304113 | |
| dc.identifier | http://arxiv.org/abs/math/0304113 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/67023 | |
| dc.subject | Symplectic Geometry | |
| dc.subject | Geometric Topology | |
| dc.title | Monodromy invariants in symplectic topology | |
| dc.type | text |