Pure virtual braids homotopic to the identity braid

H. A. Dye

Fundamenta Mathematicae (2009)

  • Volume: 202, Issue: 3, page 225-239
  • ISSN: 0016-2736

Abstract

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Two virtual link diagrams are homotopic if one may be transformed into the other by a sequence of virtual Reidemeister moves, classical Reidemeister moves, and self crossing changes. We recall the pure virtual braid group. We then describe the set of pure virtual braids that are homotopic to the identity braid.

How to cite

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H. A. Dye. "Pure virtual braids homotopic to the identity braid." Fundamenta Mathematicae 202.3 (2009): 225-239. <http://eudml.org/doc/283234>.

@article{H2009,
abstract = {Two virtual link diagrams are homotopic if one may be transformed into the other by a sequence of virtual Reidemeister moves, classical Reidemeister moves, and self crossing changes. We recall the pure virtual braid group. We then describe the set of pure virtual braids that are homotopic to the identity braid.},
author = {H. A. Dye},
journal = {Fundamenta Mathematicae},
keywords = {virtual braid; link homotopy; identity braid},
language = {eng},
number = {3},
pages = {225-239},
title = {Pure virtual braids homotopic to the identity braid},
url = {http://eudml.org/doc/283234},
volume = {202},
year = {2009},
}

TY - JOUR
AU - H. A. Dye
TI - Pure virtual braids homotopic to the identity braid
JO - Fundamenta Mathematicae
PY - 2009
VL - 202
IS - 3
SP - 225
EP - 239
AB - Two virtual link diagrams are homotopic if one may be transformed into the other by a sequence of virtual Reidemeister moves, classical Reidemeister moves, and self crossing changes. We recall the pure virtual braid group. We then describe the set of pure virtual braids that are homotopic to the identity braid.
LA - eng
KW - virtual braid; link homotopy; identity braid
UR - http://eudml.org/doc/283234
ER -

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