Name  Hye Jin Jang 

Affiliation  POSTECH 
Talk type  Session 
Time  Jan 10 16:50~17:10 
Location  E11101 
Title  New filtrations on homology cylinder group 
Abstract 
Two homology cylinders $M$ and $N$ are homology cobordant if and only if there is a 4manifold $W$ bounding $M \cup N$ and $H_i(W,M)=H_i(W,N)=0$ for $i=1,2$. By mollifying the $H_2$ condition, we can define two coarser equivalence relations on the set of homology cylinders than homology cobordism, namely "height (h) Whitney tower cobordism" and "(h)solvable cobordism". We investigate the nontriviality of the filtrations using $L2$signature invariants

Slide  101110/EAS8th.pdf 