紀要論文

紀要論文

text

Osaka Journal of Mathematics. 2025, 62(4), p. 633-657

THURSTON UNIT BALL OF A FAMILY OF n-CHAINED LINKS AND THEIR FIBERED FACES

Departments of Mathematics, The University of Osaka and Osaka Metropolitan University

英語

text

2025-10

We determine the Thurston unit ball of a family of n-chained links with p half-twists on one component, where the direction of the twists depends on the sign of p. These links are denoted by C(n, p). For p ≥ 0, we compute the unit Thurston ball precisely: it is an n-dimensional cocube (the dual of the n-dimensional cube) when p ≥ 1 and it is the union of a cocube and two simplices when p = 0. When p < 0, we instead give a conjecture, supported by some computational evidence, on the shape of the Thurston unit ball. Moreover, we are able to identify at least one fibered face for each C(n, p). Finally, we explicitely compute the Teichmüller polynomial for a fibered face of the Thurston unit ball of C(n, −2), for arbitrary n ≥ 3.

10.18910/102981

102981

THURSTON UNIT BALL OF A FAMILY OF n-CHAINED LINKS AND THEIR FIBERED FACES

Departments of Mathematics, The University of Osaka and Osaka Metropolitan University

英語

2025-10

Osaka Journal of Mathematics

62

4

633

657

https://hdl.handle.net/11094/102981

10.18910/102981

https://doi.org/10.18910/102981