TY - JOUR
T1 - On the number of commensurable fibrations on a hyperbolic 3-manifold
AU - Masai, Hidetoshi
N1 - Funding Information:
This work was partially supported by JSPS Research Fellowship for Young Scientists.
Publisher Copyright:
© 2016 World Scientific Publishing Company.
PY - 2016/4/1
Y1 - 2016/4/1
N2 - By the work of Thurston, it is known that if a hyperbolic fibered 3-manifold M has Betti number greater than 1, then M admits infinitely many distinct fibrations. For any fibration w on a hyperbolic 3-manifold M, the number of fibrations on M that are commensurable in the sense of Calegari-Sun-Wang to ω is known to be finite. In this paper, we prove that the number can be arbitrarily large.
AB - By the work of Thurston, it is known that if a hyperbolic fibered 3-manifold M has Betti number greater than 1, then M admits infinitely many distinct fibrations. For any fibration w on a hyperbolic 3-manifold M, the number of fibrations on M that are commensurable in the sense of Calegari-Sun-Wang to ω is known to be finite. In this paper, we prove that the number can be arbitrarily large.
KW - Fibered commensurability
KW - fibered links
KW - hyperbolic 3-manifolds
KW - symmetry of manifolds
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U2 - 10.1142/S0218216516500280
DO - 10.1142/S0218216516500280
M3 - Article
AN - SCOPUS:84961391015
VL - 25
JO - Journal of Knot Theory and its Ramifications
JF - Journal of Knot Theory and its Ramifications
SN - 0218-2165
IS - 5
M1 - 1650028
ER -