Affiliation:
1. Department of Mathematics, Hokkaido University, Sapporo 060-0810, Japan
Abstract
The purpose of this paper is to give the homotopy classification of nanophrases of length 2 with 4 letters. To do it we construct some new invariants of nanophrases γ and T. The invariant γ defined in this paper is an extension of the invariant γ for nanowords introduced by Turaev. The invariant T is a new invariant of nanophrases. As a corollary of these results, we give the classification of two-component pointed, ordered, oriented curves on surfaces with minimum crossing number less than or equal to 2.
Publisher
World Scientific Pub Co Pte Lt
Subject
Algebra and Number Theory
Reference7 articles.
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2. Topology of words
3. Lectures on topology of words
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