Families of contact 3-manifolds with arbitrarily large Stein fillings

  title={Families of contact 3-manifolds with arbitrarily large Stein fillings},
  author={R. I. Baykur and Jeremy van Horn-Morris},
  journal={arXiv: Geometric Topology},
We show that there are vast families of contact 3-manifolds each member of which admits infinitely many Stein fillings with arbitrarily big euler characteristics and arbitrarily small signatures ---which disproves a conjecture of Stipsicz and Ozbagci. To produce our examples, we set a framework which generalizes the construction of Stein structures on allowable Lefschetz fibrations over the 2-disk to those over any orientable base surface, along with the construction of contact structures via… Expand

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