33 citations · 126 across the 24 of their papers we have counts for
18 papers · 1 filter
The first Galois obstruction in the Johnson cokernel
Shigeyuki Morita, Takuya Sakasai, Masaaki Suzuki
We explicitly determine the first Galois obstruction in the cokernel of the Johnson homomorphism of the mapping class group of a surface of genus , for every genus . It…
Two-tone colorings and surjective dihedral representations for links
Kazuhiro Ichihara, Katsumi Ishikawa, Eri Matsudo +1
It is well-known that a knot is Fox -colorable for a prime if and only if the knot group admits a surjective homomorphism to the dihedral group of degree . However, this…
Blanchfield pairings and Gordian distance
Stefan Friedl, Takahiro Kitayama, Masaaki Suzuki
A lower bound of the Gordian distance is presented in terms of the Blanchfield pairing. Our approach, in particular, allows us to show at least for 195 pairs of unoriented nontrivi…
A non-commutative Reidemeister-Turaev torsion of homology cylinders
Yuta Nozaki, Masatoshi Sato, Masaaki Suzuki
We compute the Reidemeister-Turaev torsion of homology cylinders which takes values in the -group of the -adic completion of the group ring , and prov…
Genera and crossing numbers of -bridge knots
Masaaki Suzuki, Anh T. Tran
In this paper, we determine the average genus of all the -bridge knots with a given crossing number. As a consequence, we obtain the oblique asymptote of this value as the cross…
On the kernel of the surgery map restricted to the 1-loop part
Yuta Nozaki, Masatoshi Sato, Masaaki Suzuki
Every homology cylinder is obtained from Jacobi diagrams by clasper surgery. The surgery map is surjective f…
Generating function on epimorphisms between -bridge knot groups
Masaaki Suzuki
We have the generating function which determines the number of -bridge knot groups admitting epimorphisms onto the knot group of a given -bridge knot, in terms of crossing nu…
Abelian quotients of the -filtration on the homology cylinders via the LMO functor
Yuta Nozaki, Masatoshi Sato, Masaaki Suzuki
We construct a series of homomorphisms from the -filtration on the monoid of homology cylinders to torsion modules via the mod reduction of the LMO functor. The res…
Torelli group, Johnson kernel and invariants of homology spheres
Shigeyuki Morita, Takuya Sakasai, Masaaki Suzuki
In the late 1980's, it was shown that the Casson invariant appears in the difference between the two filtrations of the Torelli group: the lower central series and the Johnson filt…
Genera of two-bridge knots and epimorphisms of their knot groups
Masaaki Suzuki, Anh T. Tran
Let be two-bridge knots of genus respectively. We show the necessary and sufficient condition of in terms of that there exists an epimorphism from the knot gro…
On minimality of two-bridge knots
Fumikazu Nagasato, Masaaki Suzuki, Anh T. Tran
A knot is called minimal if its knot group admits epimorphisms onto the knot groups of only the trivial knot and itself. In this paper, we determine which two-bridge knot $\mathfra…
Epimorphisms between -bridge knot groups and their crossing numbers
Masaaki Suzuki
Suppose that there exists an epimorphism from the knot group of a -bridge knot onto that of another knot . In this paper, we study the relationship between their crossin…
Non-meridional epimorphisms of knot groups
Jae Choon Cha, Masaaki Suzuki
In the literature of the study of knot group epimorphisms, the existence of an epimorphism between two given knot groups is mostly (if not always) shown by giving an epimorphism wh…
Some minimal elements for a partial order of prime knots
Teruaki Kitano, Masaaki Suzuki
A partial order on the set of prime knots can be defined by the existence of an epimorphism between knot groups. We prove that all the prime knots with up to crossings are mini…
An integral region choice problem on knot projection
Kazushi Ahara, Masaaki Suzuki
In this paper we propose {\it a region choice problem} for a knot projection. This problem is an integral extension of Shimizu's 'region crossing change unknotting operation.' We s…
A partial order on the set of prime knots with up to 11 crossings
Keiichi Horie, Teruaki Kitano, Mineko Matsumoto +1
Let be a prime knot in and the knot group. We write if there exists a surjective homomorphism from onto . In this paper,…
Twisted Alexander polynomials and a partial order on the set of prime knots
Teruaki Kitano, Masaaki Suzuki
We give a survey of some recent papers by the authors and Masaaki Wada relating the twisted Alexander polynomial with a partial order on the set of prime knots. We also give exampl…
Twisted Alexander polynomials and surjectivity of a group homomorphism
Teruaki Kitano, Masaaki Suzuki, Masaaki Wada
If phi: G-->G' is a surjective homomorphism, we prove that the twisted Alexander polynomial of G is divisible by the twisted Alexander polynomial of G'. As an application, we show…