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Families of contact 3-manifolds with arbitrarily large Stein fillings
2015
Journal of differential geometry
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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
doi:10.4310/jdg/1445518920
fatcat:2bfggsn3fndbphtcv7ipzs3sea