22 citations · 130 across the 19 of their papers we have counts for
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math.GT2005★ 22 cited
The Magnus representation and higher-order Alexander invariants for homology cobordisms of surfaces
Takuya Sakasai
The set of homology cobordisms from a surface to itself with markings of their boundaries has a natural monoid structure. To investigate the structure of this monoid, we define and…
math.GT2005★ 22 cited
Homology cylinders and the acyclic closure of a free group
Takuya Sakasai
We give a Dehn-Nielsen type theorem for the homology cobordism group of homology cylinders by considering its action on the acyclic closure, which was defined by Levine, of a free…