Finite type invariants for cyclic equivalence classes of nanophrases

• Autorzy: Yuka Kotorii
• Języki publikacji: EN

Abstrakty

EN

We define finite type invariants for cyclic equivalence classes of nanophrases and construct universal invariants. Also, we identify the universal finite type invariant of degree 1 essentially with the linking matrix. It is known that extended Arnold basic invariants to signed words are finite type invariants of degree 2, by Fujiwara's work. We give another proof of this result and show that those invariants do not provide the universal one of degree 2.

Kategorie tematyczne

• 57M99: None of the above, but in this section
• 68R15: Combinatorics on words

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2014
• Tom: 225
• Numer: 1
• Strony: 211-228

Daty

wydano

2014

Twórcy

autor

Yuka Kotorii

• Department of Mathematics, Tokyo Institute of Technology, Oh-okayama, Meguro, Tokyo 152-8551, Japan

Identyfikatory

DOI

10.4064/fm225-1-9