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Abstract: We study fillings of contact structures supported by planar open books byanalyzing positive factorizations of their monodromy. Our method is based onWendl-s theorem on symplectic fillings of planar open books. We prove thatevery virtually overtwisted contact structure on Lp,1 has a unique filling,and describe fillable and non-fillable tight contact structures on certainSeifert fibered spaces.



Autor: Olga Plamenevskaya, Jeremy Van Horn-Morris

Fuente: https://arxiv.org/



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