33 citations · 126 across the 24 of their papers we have counts for
25 papers
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…
An abelian quotient of the symplectic derivation Lie algebra of the free Lie algebra
Shigeyuki Morita, Takuya Sakasai, Masaaki Suzuki
We construct an abelian quotient of the symplectic derivation Lie algebra of the free Lie algebra generated by the fundamental representation of $\mathrm{Sp}(2…
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…
Secondary characteristic classes for subgroups of automorphism groups of free groups
Shigeyuki Morita, Takuya Sakasai, Masaaki Suzuki
By analyzing how the Borel regulator classes vanish on various groups related to , we define three series of secondary characteristic classes for subgrou…
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…
Integral Euler characteristic of Out F_{11}
Shigeyuki Morita, Takuya Sakasai, Masaaki Suzuki
We show that the integral Euler characteristic of the outer automorphism group of the free group of rank 11 is -1202.
Structure of symplectic invariant Lie subalgebras of symplectic derivation Lie algebras
Shigeyuki Morita, Takuya Sakasai, Masaaki Suzuki
We study the structure of the symplectic invariant part of the Lie algebra consisting of symplectic derivations of the free…
Computations in formal symplectic geometry and characteristic classes of moduli spaces
Shigeyuki Morita, Takuya Sakasai, Masaaki Suzuki
We make explicit computations in the formal symplectic geometry of Kontsevich and determine the Euler characteristics of the three cases, namely commutative, Lie and associative on…
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…
Symmetry of symplectic derivation Lie algebras of free Lie algebras
Shigeyuki Morita, Takuya Sakasai, Masaaki Suzuki
We show that a certain symmetry exists in the stable irreducible decomposition of the Lie algebra consisting of symplectic derivations of the free Lie algebra generated by the firs…
Abelianizations of derivation Lie algebras of the free associative algebra and the free Lie algebra
Shigeyuki Morita, Takuya Sakasai, Masaaki Suzuki
We determine the abelianizations of the following three kinds of graded Lie algebras in certain stable ranges: derivations of the free associative algebra, derivations of the free…
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…