Finite type invariants for cyclic equivalence classes of nanophrases
Geometric Topology
2012-04-06 v3
Abstract
In this paper, we define finite type invariants for cyclic equivalence classes of nanophrases and construct the universal ones. Also, we identify the universal finite type invariant of degree 1 essentially with the linking matrix. It is known that extended Arnold's basic invariants to signed words are finite type invariants of degree 2, by Fujiwara. We give another proof of this result and show that those invariants do not provide the universal one of degree 2.
Keywords
Cite
@article{arxiv.1112.6097,
title = {Finite type invariants for cyclic equivalence classes of nanophrases},
author = {Yuka Kotorii},
journal= {arXiv preprint arXiv:1112.6097},
year = {2012}
}
Comments
15 pages, 4 figures. A acknowledgement is added, Exposition improved