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On the Heegaard genus of contact 3-manifolds

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Central European Journal of Mathematics

Abstract

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.

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Authors and Affiliations

  1. Department of Mathematics, Koç University, Istanbul, Turkey

    Burak Ozbagci

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  1. Burak Ozbagci
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Correspondence to Burak Ozbagci.

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Ozbagci, B. On the Heegaard genus of contact 3-manifolds. centr.eur.j.math. 9, 752–756 (2011). https://doi.org/10.2478/s11533-011-0038-7

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  • DOI: https://doi.org/10.2478/s11533-011-0038-7

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