TY - JOUR
T1 - Simplicial volume of links from link diagrams
AU - Dasbach, Oliver
AU - Tsvietkova, Anastasiia
N1 - Funding Information:
We are thankful to the anonymous referee of [DT15], who suggested to use simplicial volume in order to generalise the upper bound. Moreover, we are grateful to the referee of the current paper for his careful review. We acknowledge the support from U.S. National Science Foundation grants DMS-1317942 and DMS-1406588.
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
VL - 166
SP - 75
EP - 81
JO - Mathematical Proceedings of the Cambridge Philosophical Society
JF - Mathematical Proceedings of the Cambridge Philosophical Society
SN - 0305-0041
IS - 1
ER -