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On the Heegaard genus of contact 3-manifolds

100%

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.

Integrable systems and group actions

86%

Miranda E.

Open Mathematics

2014

tom 12

nr 2

240-270

The main purpose of this paper is to present in a unified approach to different results concerning group actions and integrable systems in symplectic, Poisson and contact manifolds. Rigidity problems for integrable systems in these manifolds will be explored from this perspective.

Ograniczanie wyników

2 Open Mathematics

1 Miranda E.

1 Ozbagci B.

1 2014

1 2011

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On the Heegaard genus of contact 3-manifolds

Integrable systems and group actions