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SUMMARY:Vicente Muñoz (Málaga University)
DTSTART:20210209T170000Z
DTEND:20210209T180000Z
DTSTAMP:20260423T022624Z
UID:Geolis/30
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/Geolis/30/">
 A Smale-Barden manifold admitting K-contact but not Sasakian structure</a>
 \nby Vicente Muñoz (Málaga University) as part of Geometria em Lisboa (I
 ST)\n\n\nAbstract\nSasakian manifolds are odd-dimensional counterparts of 
 Kahler manifolds in even dimensions\, with K-contact manifolds correspondi
 ng to symplectic manifolds. In this talk\, we give the first example of a 
 simply connected compact 5-manifold (Smale-Barden manifold) which admits a
 \nK-contact structure but does not admit any Sasakian structure\, settling
  a long standing question of Boyer and Galicki. \n\nFor this\, we translat
 e the question about K-contact 5-manifolds to constructing symplectic 4-or
 bifolds with cyclic singularities containing disjoint symplectic surfaces 
 of positive genus. The question on Sasakian 5-manifolds translates to the 
 existence of algebraic surfaces with\ncyclic singularities containig disjo
 int complex curves of positive genus. A key step consists on bounding univ
 ersally the number of singular points of the algebraic surface.\n
LOCATION:https://researchseminars.org/talk/Geolis/30/
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