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SUMMARY:Marco Marengon (virtuel): Relative genus bounds in indefinite 4-ma
nifolds
DTSTART;VALUE=DATE-TIME:20210121T100000Z
DTEND;VALUE=DATE-TIME:20210121T110000Z
DTSTAMP;VALUE=DATE-TIME:20210227T065854Z
UID:indico-event-6185@indico.math.cnrs.fr
DESCRIPTION:Given a closed 4-manifold X with an indefinite intersection fo
rm\, we consider smoothly embedded surfaces in X-int(B^4)\, with boundary
a given knot K in the 3-sphere. We give several methods to bound the genus
of such surfaces in a fixed homology class. Our techniques include adjunc
tion inequalities from Heegaard Floer homology and the Bauer-Furuta invari
ants\, and the 10/8 theorem. In particular\, we present obstructions to a
knot being H-slice (that is\, bounding a null-homologous disc) in a 4-mani
fold and show that the set of H-slice knots can detect exotic smooth struc
tures on closed 4-manifolds. This is joint work with Ciprian Manolescu and
Lisa Piccirillo.\n\nhttps://indico.math.cnrs.fr/event/6185/
LOCATION:batiment I 001
URL:https://indico.math.cnrs.fr/event/6185/
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