TY - JOUR
T1 - Simplicial volume of links from link diagrams
AU - Dasbach, Oliver
AU - Tsvietkova, Anastasiia
N1 - Publisher Copyright:
Copyright © 2017 Cambridge Philosophical Society.
PY - 2019/1/1
Y1 - 2019/1/1
N2 - The hyperbolic volume of a link complement is known to be unchanged when a half-twist is added to a link diagram, and a suitable 3-punctured sphere is present in the complement. We generalise this to the simplicial volume of link complements by analysing the corresponding toroidal decompositions. We then use it to prove a refined upper bound for the volume in terms of twists of various lengths for links.
AB - The hyperbolic volume of a link complement is known to be unchanged when a half-twist is added to a link diagram, and a suitable 3-punctured sphere is present in the complement. We generalise this to the simplicial volume of link complements by analysing the corresponding toroidal decompositions. We then use it to prove a refined upper bound for the volume in terms of twists of various lengths for links.
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U2 - 10.1017/S0305004117000731
DO - 10.1017/S0305004117000731
M3 - Article
AN - SCOPUS:85033367002
SN - 0305-0041
VL - 166
SP - 75
EP - 81
JO - Mathematical Proceedings of the Cambridge Philosophical Society
JF - Mathematical Proceedings of the Cambridge Philosophical Society
IS - 1
ER -