Research Interests: Knot Theory
1.Local moves on a knot diagram
2.Vassiliev invariants of knots
3.Vassiliev type invariants for spatial graphs
Preprints
S.Horiuchi and Y.Ohyama: On the Cn-distance and
Vassiliev invariants,
preprint.pdf
S.Horiuchi and Y.Ohyama: A lattice of knots by C2n-moves, preprint.pdf
S.Horiuchi and Y.Ohyama: Intersection of two spheres in the
metric space
of knots by Cn-moves, in preparation.
Recent works (2000-)
Y.Ohyama: Web diagrams and realization of Vassiliev invariants
by knots,
Journal of Knot Theory and its Ramifications, Vol.9,
No.5 (2000), 693-701.
Y.Ohyama and K.Taniyama: Vassiliev invariants of knots
in a spatial graph,
Pacific Journal of Mathematics, Vol.200, No.1 (2001),
191-205.
Y.Nakanishi and Y.Ohyama: Knots with given finite type
invarinats and C_k-distances,
Journal of Knot Theory and its Ramifications, Vol.10,
No.7 (2001), 1041-1046.
Y.Nakanishi and Y.Ohyama: Delta link homotopy for two
component links II,
Journal of Knot Theory and its Ramifications, Vol.11,
No.3 (2002), 353-362.
Y.Ohyama, K.Taniyama and S.Yamada: Realization of
Vassiliev invarinats
by unknotting number one knots, Tokyo Journal of Mathematics,
Vol.25, No.1, (2002), 17-31.
Y.Ohyama and H.Yamada: Delta and clasp-pass distances
and Vassiliev invariants
of knots, Journal of Knot Theory and its Ramifications,
Vol.11, No.4 (2002), 515-526.
Y.Ohyama: Remarks on C_n-moves for links and Vassiliev
invariants of order n,
Journal of Knot Theory and its Ramifications, Vol.11,
No.4, (2002), 507-514.
Y.Nakanishi and Y.Ohyama: Delta link homotopy for two
component links III,
Journal of the Mathematical Society of Japan, Vol.5,
No. 3 (2003), 641-654.
Y.Ohyama: The C_k-Gordian complex of knots,
J. Knot Theory Ramifications, Vol.15, No.1, (2006),
73-80. pdf
Y.Nakanishi and Y.Ohyama: Knots with given finite type
invariants and Conway polynomial,
J. Knot Theory Ramifications, Vol.15, No. 2, (2006),
205-215.pdf
Y.Nakanishi and Y.Ohyama: Local moves and Gordian
complexes,
J. Knot Theory Ramifications, Vol.15, No. 9, (2006),
1215-1224.
Y.Ohyama and H.Yamada: A C_n-move for a knot and the
coefficients of the Conway polynomial,
J. Knot Theory Ramifications, Vo.17, No.7 (2008),
771-785.pdf
Y.Nakanishi and Y.Ohyama:The Gordian complex with
pass move
is not homogeneous with respect to Conway polynomial,
Hiroshima Mathematical Journal, Vol.39, No.3 (2009),
443-450.
S.Horiuchi and Y.Ohyama: Almost alternating knots producing an alternating knot,
J. Knot Theory Ramifications, Vol.19, No.4 (2010),
503-507. pdf
S.Horiuchi and Y.Ohyma: A numerical invariant for two component
Tokyo Woman's Christian University Topology Seminar
spatial graphs, to appear in J. Knot Theory Ramifications.
pdf