9 citations · 40 across the 33 of their papers we have counts for
4 papers · 1 filter
Bilinear-form invariants of Lefschetz fibrations over the 2-sphere
Takefumi Nosaka
We introduce invariants of Hurwitz equivalence classes with respect to arbitrary group . The invariants are constructed from any right -modules and any -invariant bili…
On the fundamental 3-classes of knot group representations
Takefumi Nosaka
We discuss the fundamental (relative) 3-classes of knots (or hyperbolic links), and provide diagrammatic descriptions of the push-forwards with respect to every link-group represen…
Twisted cohomology pairings of knots II; to classical invariants
Takefumi Nosaka
We show that bilinear cup products with local coefficients of closed 3-manifolds recover some twisted pairings of infinite covers and the Casson-Gordon local signatures. As a resul…
Twisted cohomology pairings of knots I; diagrammatic computation
Takefumi Nosaka
We provide a diagrammatic computation for the bilinear form, which is defined as the pairing between the (relative) cup products with every local coefficients and every integral ho…