Toshiki Matsusaka

activity

20162026

most citedA Hyperbolic Analogue of the Rademacher Symbol

7 citations · 26 across the 38 of their papers we have counts for

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3 papers · 1 filter

math.GT2025

On the Alexander polynomials of modular knots

Soon-Yi Kang, Toshiki Matsusaka, Kyungbae Park

Closed geodesics associated with indefinite binary quadratic forms, or equivalently with real quadratic irrationals, have long been studied as geometric $SL_{2} (Z)$ …

math.GT2021

Modular transformations of homological blocks for Seifert fibered homology $3$ -spheres

Toshiki Matsusaka, Yuji Terashima

In this article, for any Seifert fibered integral homology 3-sphere, we give explicit modular transformation formulas of homological blocks introduced by Gukov-Pei-Putrov-Vafa. Mor…

math.GT2021★ 4 cited

Modular knots, automorphic forms, and the Rademacher symbols for triangle groups

Toshiki Matsusaka, Jun Ueki

É.Ghys proved that the linking numbers of modular knots and the "missing" trefoil $K_{2, 3}$ in $S^{3}$ coincide with the values of a highly ubiquitous function called the Rademacher…

On the Alexander polynomials of modular knots

Modular transformations of homological blocks for Seifert fibered homology 3-spheres

Modular knots, automorphic forms, and the Rademacher symbols for triangle groups

Modular transformations of homological blocks for Seifert fibered homology $3$ -spheres