TY - JOUR
T1 - A calculation of the hyperbolic torsion polynomial of a pretzel knot
AU - Morifuji, Takayuki
N1 - Funding Information:
ACKNOWLEDGMENT. The author would like to thank the referee for useful comments. This research was partially supported by JSPS KAKENHI Grant Numbers 26400096 and 17K05261.
Publisher Copyright:
© 2019 International Academic Printing Co. Ltd.. All rights reserved.
PY - 2019
Y1 - 2019
N2 - In this short note, we calculate the highest degree term of the hyperbolic torsion polynomial of a pretzel knot with three tangles. It gives a supporting evidence for a conjecture of Dunfield, Friedl and Jackson that the hyperbolic torsion polynomial determines the genus and fiberedness of a hyperbolic knot.
AB - In this short note, we calculate the highest degree term of the hyperbolic torsion polynomial of a pretzel knot with three tangles. It gives a supporting evidence for a conjecture of Dunfield, Friedl and Jackson that the hyperbolic torsion polynomial determines the genus and fiberedness of a hyperbolic knot.
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U2 - 10.3836/tjm/1502179265
DO - 10.3836/tjm/1502179265
M3 - Article
AN - SCOPUS:85078457305
SN - 0387-3870
VL - 42
SP - 219
EP - 224
JO - Tokyo Journal of Mathematics
JF - Tokyo Journal of Mathematics
IS - 1
ER -