On the topology of compact Stein surfaces
By S. Akbulut, Burak Ozbagci. 2001
47 citations recorded by the source corpus.
In this paper we obtain the following results: (1) Any compact Stein surface with boundary embeds naturally into a symplectic Lefschetz fibration over S 2 . (2) There exists a minimal elliptic fibration over D 2 , which is not Stein. (3) The circle bundle over a genus n � 2 surface with euler number e = 1 admits at least n+ 1 mutually non-homeomorphic simply-connected Stein fillings. (4) Any surface bundle over S 1 , whose fiber is a closed surface of genus n � 1 can be embedded into a closed symplectic 4-manifold, splitting the symplectic 4-manifold into two pieces both of which have positive b + . (5) Every closed, oriented connected 3-manifold has a weakly symplectically fillable double cover, branched along a 2-component link.
Subfields: Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/2279f8b57fa0326f5eadc78762652ecc36623610
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In Geometry and Topology
- John B. Etnyre
- O. Plamenevskaya
- Y. Eliashberg
- A. Stipsicz
- Peter S. Ozsv'ath
- Lenhard L. Ng
- P. Ghiggini
- Zolt'an Szab'o
In Mathematical Physics
- Y. Eliashberg
- O. Plamenevskaya
- A. Stipsicz
- John B. Etnyre
- Peter S. Ozsv'ath
- P. Lisca
- M. Hedden
- Zolt'an Szab'o
Citations in the corpus
- On symplectic fillings (2003, background): “In [23] Lisca and Matić and in [1] Akbulut and Ozbagci proved the corollaries for Stein fillings.”
- Contact Structures with Distinct Heegaard Floer Invariants (2003, background): “Then FmixV,k (θ) = ±c(ξ).”
- Few remarks about symplectic filling (2003, background): “Selman Akbulut and Burak Ozbagci gave in [2] a more constructive proof of this fact.”