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On the Heegaard genus of contact 3-manifolds

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Ozbagci B.

Open Mathematics

2011

tom 9

nr 4

752-756

It is well-known that the Heegaard genus is additive under connected sum of 3-manifolds. We show that the 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 [Rubinstein J.H., Comparing open book and Heegaard decompositions of 3-manifolds, Turkish J. Math., 2003, 27(1), 189–196]) of 3-manifolds, and compute this invariant for some 3-manifolds.

Ograniczanie wyników

1 Open Mathematics

1 Ozbagci B.

1 2011

Wyniki wyszukiwania

On the Heegaard genus of contact 3-manifolds