Skip to main content

4-genus bounds from the 10/8+4 theorem

Posted in
Gordana Matic
Thu, 01/06/2023 - 12:00 - 13:00
MPIM Lecture Hall

Contact: Aru Ray (aruray @

Donald and Vafaee described a way to use Furuta’s 10/8 theorem to obstruct sliceness in the 4-ball and Linh Truong used a refinement, the 10/8 +4 theorem of Hopkins-Lin-Shi and Hu, to strengthen this sliceness obstruction. We will show how to expand on this technique to obtain lower bounds for four-ball genus and present some calculations for satellite knots. This is joint work in progress with Sashka Kjuchukova and Linh Truong.


© MPI f. Mathematik, Bonn Impressum & Datenschutz
-A A +A