Name  Hee Jung Kim 

Affiliation  POSTECH 
Talk type  Session 
Time  Jan 9 13:50~14:30 
Location  E11102 
Title  Knotting surfaces in fourmanifolds 
Abstract 
We will discuss the surgery operation to modify embeddinds of surfaces in four manifolds and construct "exotic surfaces" which are homeomorphic but not diffeomorphic. I also construct, for any group G satisfying some simple conditions, a simplyconnected symplectic manifold containing a symplectic surface whose complement has fundamental group G. In the case, we produce infinitely many smoothly inequivalent surfaces that are equivalent up to smooth sâ€“cobordism and hence are topologically equivalent for good groups.

Slide  10219/eastknot.pdf 