On the Heegaard genus of contact 3-manifolds

Details On the Heegaard genus of contact 3-manifolds On the Heegaard genus of contact 3-manifolds

2010-05-13

arxiv.org/abs/1005.2388v1

Mathematics

Geometric Topology

Scientific paper

It is well-known that Heegaard genus is additive under connected sum of
3-manifolds. We show that Heegaard genus of contact 3-manifolds is not
necessarily additive under contact connected sum. We also prove some basic
properties of the contact genus (a.k.a. open book genus) of 3-manifolds, and
compute this invariant for some 3-manifolds.

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