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SUMMARY:Gordana Matic (Univ. of Georgia/MPIM Bonn)
DTSTART:20200616T140000Z
DTEND:20200616T151500Z
DTSTAMP:20260423T024742Z
UID:rlgts/6
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/rlgts/6/">Sp
 ectral order invariant and obstruction to Stein fillability</a>\nby Gordan
 a Matic (Univ. of Georgia/MPIM Bonn) as part of Regensburg low-dimensional
  geometry and topology seminar\n\n\nAbstract\nIn this joint work with Caga
 tay Kutluhan\, Jeremy Van Horn- Morris and Andy Wand\, we define an invari
 ant of contact structures in dimension three arising from  introducing a f
 iltration on the boundary operator in Heegaard Floer homology.  This invar
 iant takes values in the set $\\Z_{\\geq0}\\cup\\{\\infty\\}$. It is zero 
 for overtwisted contact structures\, $\\infty$ for Stein fillable contact 
 structures\, non-decreasing under Legendrian surgery\, and computable from
  any supporting open book decomposition. I will give the definition and  d
 iscuss computability of the invariant. As  an application\, we give an eas
 ily computable obstruction to Stein fillability on closed contact 3-manifo
 lds with non-vanishing Ozsváth-Szabó contact class.\n
LOCATION:https://researchseminars.org/talk/rlgts/6/
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