Polynomial invariants of links in the projective space

Maciej Mroczkowski

Fundamenta Mathematicae (2004)

  • Volume: 184, Issue: 1, page 223-267
  • ISSN: 0016-2736

Abstract

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The Homflypt and Kauffman skein modules of the projective space are computed. Both are free and generated by some infinite set of links. This set may be chosen to be {Lₙ: n ∈ ℕ ∪ {0}}, where Lₙ is an arbitrary link consisting of n projective lines for n > 0, and L₀ is an affine unknot.

How to cite

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Maciej Mroczkowski. "Polynomial invariants of links in the projective space." Fundamenta Mathematicae 184.1 (2004): 223-267. <http://eudml.org/doc/282896>.

@article{MaciejMroczkowski2004,
abstract = {The Homflypt and Kauffman skein modules of the projective space are computed. Both are free and generated by some infinite set of links. This set may be chosen to be \{Lₙ: n ∈ ℕ ∪ \{0\}\}, where Lₙ is an arbitrary link consisting of n projective lines for n > 0, and L₀ is an affine unknot.},
author = {Maciej Mroczkowski},
journal = {Fundamenta Mathematicae},
keywords = {skein modules; projective space; Kauffmann polynomial; homflypt polynomial; link},
language = {eng},
number = {1},
pages = {223-267},
title = {Polynomial invariants of links in the projective space},
url = {http://eudml.org/doc/282896},
volume = {184},
year = {2004},
}

TY - JOUR
AU - Maciej Mroczkowski
TI - Polynomial invariants of links in the projective space
JO - Fundamenta Mathematicae
PY - 2004
VL - 184
IS - 1
SP - 223
EP - 267
AB - The Homflypt and Kauffman skein modules of the projective space are computed. Both are free and generated by some infinite set of links. This set may be chosen to be {Lₙ: n ∈ ℕ ∪ {0}}, where Lₙ is an arbitrary link consisting of n projective lines for n > 0, and L₀ is an affine unknot.
LA - eng
KW - skein modules; projective space; Kauffmann polynomial; homflypt polynomial; link
UR - http://eudml.org/doc/282896
ER -

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