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math.GT2010★ 1 cited
A survey of Magnus representations for mapping class groups and homology cobordisms of surfaces
Takuya Sakasai
This is a survey of Magnus representations with particular emphasis on their applications to mapping class groups and monoids (groups) of homology cobordisms of surfaces. In the fi…
math.GT2010★ 4 cited
Factorization formulas and computations of higher-order Alexander invariants for homologically fibered knots
Hiroshi Goda, Takuya Sakasai
Homologically fibered knots are knots whose exteriors satisfy the same homological conditions as fibered knots. In our previous paper, we observed that for such a knot, higher-orde…