Holomorphic discs and sutured manifolds

Juhász, András

doi:10.2140/agt.2006.6.1429

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Holomorphic discs and sutured manifolds

András Juhász

Algebraic & Geometric Topology 6 (2006) 1429–1457

DOI: 10.2140/agt.2006.6.1429

arXiv: math.GT/0601443

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.

Keywords

sutured manifold, Floer homology, holomorphic disc

Mathematical Subject Classification 2000

Primary: 57M27, 57R58

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Publication

Accepted: 23 July 2006

Published: 4 October 2006

Authors

András Juhász
Department of Mathematics Princeton University Princeton, NJ 08544 USA

Volume 6, issue 3 (2006)