Homotopy on spatial graphs and generalized Sato-Levine invariants
Geometric Topology
2020-05-19 v3
Abstract
Edge-homotopy and vertex-homotopy are equivalence relations on spatial graphs which are generalizations of Milnor's link-homotopy. Fleming and the author introduced some edge (resp. vertex)-homotopy invariants of spatial graphs by applying the Sato-Levine invariant for the constituent 2-component algebraically split links. In this paper, we construct some new edge (resp. vertex)-homotopy invariants of spatial graphs without any restriction of linking numbers of the constituent 2-component links by applying the generalized Sato-Levine invariant.
Cite
@article{arxiv.0710.3627,
title = {Homotopy on spatial graphs and generalized Sato-Levine invariants},
author = {Ryo Nikkuni},
journal= {arXiv preprint arXiv:0710.3627},
year = {2020}
}
Comments
16 pages, 13 figures