Holomorphic discs and sutured manifolds

Details Holomorphic discs and sutured manifolds Holomorphic discs and sutured manifolds

2006-01-18

arxiv.org/abs/math/0601443v3

Algebr. Geom. Topol. 6 (2006) 1429-1457

Mathematics

Geometric Topology

This is the version published by Algebraic & Geometric Topology on 4 October 2006

Scientific paper

10.2140/agt.2006.6.1429

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.

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