12 citations · 40 across the 16 of their papers we have counts for
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math.GT2011★ 5 cited
Homology cylinders of higher-order
Takahiro Kitayama
We study algebraic structures of certain submonoids of the monoid of homology cylinders over a surface and the homology cobordism groups, using Reidemeister torsion with non-commut…
math.GT2011★ 9 cited
Poincaré duality and degrees of twisted Alexander polynomials
Stefan Friedl, Taehee Kim, Takahiro Kitayama
We prove duality theorems for twisted Reidemeister torsions and twisted Alexander polynomials generalizing the results of Turaev. As a corollary we determine the parity of the degr…