2003/02/28 by Lenhard Ng · 1 citation
Mathematics · #math.GT #math.SG #msc:57M27 #msc:53D35 #msc:20F36
paper · pdf · doi:10.2140/gt.2005.9.247
published as Geom. Topol. 9 (2005) 247-297 · Published by Geometry and Topology at http://www.maths.warwick.ac.uk/gt/GTVol9/paper8.abs.html
arxiv created 2005/01/29 · arxiv updated 2014/11/11
We introduce topological invariants of knots and braid conjugacy classes, in the form of differential graded algebras, and present an explicit combinatorial formulation for these invariants. The algebras conjecturally give the relative contact homology of certain Legendrian tori in five-dimensional contact manifolds. We present several computations and derive a relation between the knot invariant and the determinant.