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SUMMARY:Marco Marengon (Max Planck Institute for Mathematics)
DTSTART:20210409T150000Z
DTEND:20210409T161500Z
DTSTAMP:20260423T005743Z
UID:CIRGET/39
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CIRGET/39/">
 Relative genus bounds in indefinite 4-manifolds</a>\nby Marco Marengon (Ma
 x Planck Institute for Mathematics) as part of CRM - Séminaire du CIRGET 
 / Géométrie et Topologie\n\n\nAbstract\nGiven a closed 4-manifold X with
  an indefinite intersection form\, we consider smoothly embedded surfaces 
 in X-int(B^4)\, with boundary a given knot K in the 3-sphere.\nWe give sev
 eral methods to bound the genus of such surfaces in a fixed homology class
 . Our techniques include adjunction inequalities from Heegaard Floer homol
 ogy and the Bauer-Furuta invariants\, and the 10/8 theorem.\nIn particular
 \, we present obstructions to a knot being H-slice (that is\, bounding a n
 ull-homologous disc) in a 4-manifold and show that the set of H-slice knot
 s can detect exotic smooth structures on closed 4-manifolds.\nThis is join
 t work with Ciprian Manolescu and Lisa Piccirillo.\n
LOCATION:https://researchseminars.org/talk/CIRGET/39/
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