On the Heegaard genus of contact 3-manifolds
Open Mathematics (2011)
- Volume: 9, Issue: 4, page 752-756
- ISSN: 2391-5455
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topBurak Ozbagci. "On the Heegaard genus of contact 3-manifolds." Open Mathematics 9.4 (2011): 752-756. <http://eudml.org/doc/269673>.
@article{BurakOzbagci2011,
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.},
author = {Burak Ozbagci},
journal = {Open Mathematics},
keywords = {Heegaard genus; Contact genus; Open book genus; Contact connected sum; Contact manifold; Heegard genus; contact genus; open book genus; connected sum; contact manifolds},
language = {eng},
number = {4},
pages = {752-756},
title = {On the Heegaard genus of contact 3-manifolds},
url = {http://eudml.org/doc/269673},
volume = {9},
year = {2011},
}
TY - JOUR
AU - Burak Ozbagci
TI - On the Heegaard genus of contact 3-manifolds
JO - Open Mathematics
PY - 2011
VL - 9
IS - 4
SP - 752
EP - 756
AB - 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.
LA - eng
KW - Heegaard genus; Contact genus; Open book genus; Contact connected sum; Contact manifold; Heegard genus; contact genus; open book genus; connected sum; contact manifolds
UR - http://eudml.org/doc/269673
ER -
References
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- [7] Ozbagci B., Stipsicz A.I., Surgery on Contact 3-manifolds and Stein Surfaces, Bolyai Soc. Math. Stud., 13, Springer, Berlin, 2004 Zbl1067.57024
- [8] Rubinstein J.H., Comparing open book and Heegaard decompositions of 3-manifolds, Turkish J. Math., 2003, 27(1), 189–196 Zbl1045.57008
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