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Stein fillings of planar open books

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 نشر من قبل Amey Kaloti
 تاريخ النشر 2013
  مجال البحث
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 تأليف Amey Kaloti




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We prove that if a contact manifold $(M,xi)$ is supported by a planar open book, then Euler characteristic and signature of any Stein filling of $(M,xi)$ is bounded. We also prove a similar finiteness result for contact manifolds supported by spinal open books with planar pages. Moving beyond the geography of Stein fillings, we classify fillings of some lens spaces.



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