Name Minkyoung Song POSTECH Session Jan 10 16:20~16:40 E11-101 Milnor's invariants and Hirzebruch-type invariants of homology cylinders Homology cobordism groups of homology cylinders are studied as generalizations of string-link concordance groups and mapping class groups in the last decade, and many invariants have been defined. We consider a filtration of subgroups using Garoufalidis-Levine invariants and Milnor's $\bar\mu$-invarints on homology cylinders, and extend Hirzebruch-type invariants on the subgroups. Also we consider additivity of the invariants. 101-1-10/2012_MKSong.pdf