On the Heegaard genus of contact 3-manifolds |
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Authors: | Burak Ozbagci |
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Institution: | 1.Department of Mathematics,Ko? University,Istanbul,Turkey |
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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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