Skip to main content

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

Posted in
Speaker: 
Gordana Matic
Affiliation: 
UGA/MPIM
Date: 
Thu, 01/06/2023 - 12:00 - 13:00
Location: 
MPIM Lecture Hall

Contact: Aru Ray (aruray @ mpim-bonn.mpg.de)

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