BIRS Workshop Lecture Videos

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BIRS Workshop Lecture Videos

Invariants and structures of the homology cobordism group of homology cylinders Song, Minkyoung


The homology cobordism group of homology cylinders is enlargement of both the mapping class group and the concordance group of string links in homology \(D^2 \times I\) . We observe the structure of the group via filtration of extended Milnor invariants combined with Johnson homomorphisms. We also obtain deeper information invisible to previously known invariants by employing Hirzebruch-type intersection form defect invariants

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