On knots and links in lens spaces
Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika, no. 17 (2015), pp. 118-134
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We shortly review some recent results about knots and links in
lens spaces. A disk diagram is described together with a
Reidemeister-type theorem concerning equivalence. The lift of
knots/links in the $3$-sphere is discussed, showing examples of
different knots and links having equivalent lift. The essentiality
respect to the lift of classical invariants on knots/links in lens
spaces is discussed.
Keywords:
knot, link, lift, fundamental quandle, group of the link, twisted Alexander polynomial.
Mots-clés : lens space
Mots-clés : lens space
@article{VCHGU_2015_17_a8,
author = {M. Mulazzani and E. Manfredi},
title = {On knots and links in lens spaces},
journal = {Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika},
pages = {118--134},
publisher = {mathdoc},
number = {17},
year = {2015},
language = {en},
url = {http://geodesic.mathdoc.fr/item/VCHGU_2015_17_a8/}
}
TY - JOUR AU - M. Mulazzani AU - E. Manfredi TI - On knots and links in lens spaces JO - Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika PY - 2015 SP - 118 EP - 134 IS - 17 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/VCHGU_2015_17_a8/ LA - en ID - VCHGU_2015_17_a8 ER -
M. Mulazzani; E. Manfredi. On knots and links in lens spaces. Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika, no. 17 (2015), pp. 118-134. http://geodesic.mathdoc.fr/item/VCHGU_2015_17_a8/