Geodesic
Holomorphic discs and sutured manifolds
Juhász, András1
1Department of Mathematics, Princeton University, Princeton, NJ 08544, USA
Algebraic and Geometric Topology, Tome 6 (2006) no. 3, pp. 1429-1457
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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.

DOI : 10.2140/agt.2006.6.1429
Keywords: sutured manifold, Floer homology, holomorphic disc

Juhász, András  1

1 Department of Mathematics, Princeton University, Princeton, NJ 08544, USA 
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Juhász, András. Holomorphic discs and sutured manifolds. Algebraic and Geometric Topology, Tome 6 (2006) no. 3, pp. 1429-1457. doi: 10.2140/agt.2006.6.1429

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