Ryo Nikkuni (Waseda University, JSPS Research Fellow)
Title: Delta link-homotopy on spatial graphs

Abstract:
Delta link-homotopy is an equivalence relation on oriented links generated by delta moves on the same component and ambient isotopies, and extended to spatial graphs naturally. In this talk, we will explain the content of the following papers.

  • R. Nikkuni, Delta link-homotopy on spatial graphs, Rev. Mat. Complut. 15 (2002), 543-570.
  • R. Nikkuni, Edge-homotopy classification of spatial complete graphs on four vertices, to appear in J. Knot Theory Ramifications. (PDF)
  • R. Nikkuni, Delta edge-homotopy on theta curves, to appear in Math. Proc. Cambridge Philos. Soc. (PDF)