Finite type invariants for cyclic equivalence classes of nanophrases

Yuka Kotorii. "Finite type invariants for cyclic equivalence classes of nanophrases." Fundamenta Mathematicae 225.0 (2014): 211-228. <http://eudml.org/doc/286071>.

@article{YukaKotorii2014,
abstract = {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.},
author = {Yuka Kotorii},
journal = {Fundamenta Mathematicae},
keywords = {nanowords; nanophrases; finite type invariants; immersed curves; Arnold's invariants},
language = {eng},
number = {0},
pages = {211-228},
title = {Finite type invariants for cyclic equivalence classes of nanophrases},
url = {http://eudml.org/doc/286071},
volume = {225},
year = {2014},
}

TY - JOUR
AU - Yuka Kotorii
TI - Finite type invariants for cyclic equivalence classes of nanophrases
JO - Fundamenta Mathematicae
PY - 2014
VL - 225
IS - 0
SP - 211
EP - 228
AB - 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.
LA - eng
KW - nanowords; nanophrases; finite type invariants; immersed curves; Arnold's invariants
UR - http://eudml.org/doc/286071
ER -