Holomorphic discs and sutured manifolds

2006/01/31 by Andras Juhasz · 2 citations
Mathematics · #math.GT #msc:57M27 #msc:57R58

paper · pdf · doi:10.2140/agt.2006.6.1429

published as Algebr. Geom. Topol. 6 (2006) 1429-1457 · This is the version published by Algebraic & Geometric Topology on 4 October 2006

arxiv created 2009/04/24 · arxiv updated 2009/12/01

Abstract

In this paper we construct a Floer-homology invariant for a natural and wide class of sutured manifolds that we call balanced. This generalizes the Heegaard Floer hat theory of closed three-manifolds and links. Our invariant is unchanged under product decompositions and is zero for nontaut sutured manifolds. As an application, an invariant of Seifert surfaces is given and is computed in a few interesting cases.

Cited by

• Degree-1 maps and rank inequalities in Heegaard Floer homology
• The next-to-top term of the knot Floer homology of some non-fibered knots