The symplectic geometry of cotangent bundles from a categorical viewpoint
| dc.creator | Fukaya, Kenji | |
| dc.creator | Seidel, Paul | |
| dc.creator | Smith, Ivan | |
| dc.date | 2007-05-23 | |
| dc.date | 2007-09-26 | |
| dc.date.accessioned | 2026-07-07T08:31:57Z | |
| dc.date.available | 2026-07-07T08:31:57Z | |
| dc.description | We describe various approaches to understanding Fukaya categories of cotangent bundles. All of the approaches rely on introducing a suitable class of noncompact Lagrangian submanifolds. We review the work of Nadler-Zaslow (math/0604379, math/0612399) and the authors (math/0701783), before discussing a new approach using family Floer cohomology and the ``wrapped Fukaya category''. The latter, inspired by Viterbo's symplectic homology, emphasises the connection to loop spaces, hence seems particularly suitable when trying to extend the existing theory beyond the simply-connected case. | |
| dc.description | 27 pages, 2 figures. Version 4 -- application added (to exact Lagrangians in Euclidean space which are standard at infinity), results sharpened for cotangent bundles of tori | |
| dc.identifier | https://arxiv.org/abs/0705.3450 | |
| dc.identifier | http://arxiv.org/abs/0705.3450 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/138653 | |
| dc.subject | Symplectic Geometry | |
| dc.subject | Algebraic Topology | |
| dc.subject | 53D35; 53D40; 57T30 | |
| dc.title | The symplectic geometry of cotangent bundles from a categorical viewpoint | |
| dc.type | text |