Monodromy, vanishing cycles, knots and the adjoint quotient

Simple item page
dc.creatorSmith, Ivan
dc.date2004-12-21
dc.date.accessioned2026-07-07T05:15:34Z
dc.date.available2026-07-07T05:15:34Z
dc.descriptionThese are notes from lectures given at the Clay Institute Summer School on "Floer homology, gauge theory and low-dimensional topology" (Budapest, 2004). The first part describes as background some of the geometry of symplectic fibre bundles and their monodromy. The second part, overviewing joint work with Paul Seidel, applies these general ideas and Floer cohomology to certain fibre bundles that arise naturally in Lie theory. This constructs an invariant of oriented links in the three-sphere which is conjecturally equal to Khovanov's combinatorial homology theory.
dc.description20 pages, 5 figures. Clay Institute lectures
dc.identifierhttps://arxiv.org/abs/math/0412440
dc.identifierhttp://arxiv.org/abs/math/0412440
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73670
dc.subjectSymplectic Geometry
dc.subjectGeometric Topology
dc.subject53D35; 57M25
dc.titleMonodromy, vanishing cycles, knots and the adjoint quotient
dc.typetext

Files

Collections

arXiv