# zbMATH — the first resource for mathematics

Lectures on the theory of sutured 3-manifolds. (English) Zbl 0756.57007
Algebra and topology, Proc. 5th Math. Workshop, Taejon/Korea 1990, Proc. KIT Math. Workshop 5, 25-45 (1990).
[For the entire collection see Zbl 0727.00012.]
The current topological literature contains many applications of the theory of sutured 3-manifolds. A sutured manifold $$(M,\gamma)$$ is a compact oriented 3-manifold $$M$$ together with a partition of $$\partial M=R_ +\cup_ \gamma R_ -$$ as the union of two surfaces $$R_ +$$ and $$R_ -$$ along their common boundary, a collection of simple closed curves $$\gamma$$, called the sutures. $$R_ +$$ is oriented so that its normal vector points outward and $$R_ -$$ so that it points inward.
The paper is an elementary survey of the theory of 3-manifolds and the theory of sutured 3-manifolds.
Reviewer: A.K.Guts (Omsk)

##### MSC:
 57N10 Topology of general $$3$$-manifolds (MSC2010) 57-02 Research exposition (monographs, survey articles) pertaining to manifolds and cell complexes
##### Keywords:
sutured 3-manifolds