42 citations · 83 across the 9 of their papers we have counts for
9 papers
2-knot homology and Roseman move
Hiroshi Matsuda
Ng constructed an invariant of knots in , a combinatorial knot contact homology. Extending his study, we construct an invariant of surface-knots in …
2-knot homology and Yoshikawa move
Hiroshi Matsuda
Ng constructed an invariant of knots in , a combinatorial knot contact homology. Extending his study, we construct an invariant of surface-knots in …
Curves in R^n with finite total first curvature arising from the solutions of an ODE
P. Gilkey, C. Y. Kim, H. Matsuda +2
We use the solution set of a real ordinary differential equation which has order n which is at least 2 to construct a smooth curve C in R^n. We describe when C is a proper embeddin…
Finiteness of the total first curvature of a non-closed curve in
C. Y. Kim, H. Matsuda, J. H. Park +1
We consider a regular smooth curve in such that its coordinates' components are the fundamental solutions of the differential equation $x…
Morse-Novikov theory, Heegaard splittings and closed orbits of gradient flows
Hiroshi Goda, Hiroshi Matsuda, Andrei Pajitnov
The works of Donaldson and Mark make the structure of the Seiberg-Witten invariant of 3-manifolds clear. It corresponds to certain torsion type invariants counting flow lines and c…
On rectangular diagrams, Legendrian knots and transverse knots
Hiroshi Matsuda, William W. Menasco
A correspondence is studied by H. Matsuda between front projections of Legendrian links in the standard contact structure for 3-space and rectangular diagrams. In this paper, we in…