Thursday, March 11, 2021
Time  Items 

All day 

4:00pm 
03/11/2021  4:00pm One wellknown strategy for distinguishing smooth structures on closed 4manifolds is to produce a knot $K$ in $S^3$ which is (smoothly) slice in one smooth filling $W$ of $S^3$ but not slice in some homeomorphic smooth filling $W’$. There are many techniques for distinguishing smooth structures on complicated closed 4manifolds, but this strategy stands out for its potential to work for 4manifolds $W$ with very little algebraic topology. However, this strategy had never actually been used in practice, even for complicated $W$. I’ll discuss joint work with Manolescu and Marengon which gives the first application of this strategy. I’ll also discuss joint work with Manolescu which gives a systematic approach towards using this strategy to produce exotic definite closed 4manifolds. Location:
https://yale.zoom.us/j/96501374645
