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19962026
most citedUniversal low-temperature properties of quantum and classical ferromagnetic chains

20 citations · 33 across the 13 of their papers we have counts for

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3 papers · 1 filter

math.GT2026

The Grothendieck-Teichmüller group acts on the genus mapping class group with or marked point

Pierre Lochak, Hiroaki Nakamura, Leila Schneps

The goal of this article is to prove that the Grothendieck-Teichmüller group acts on and ,the (full) profinite genus mapping c…

math.GT2020

Lissajous 3-braids

Eiko Kin, Hiroaki Nakamura, Hiroyuki Ogawa

We classify 3-braids arising from collision-free choreographic motions of 3 bodies on Lissajous plane curves, and present a parametrization in terms of levels and (Christoffel) slo…

math.GT2019

The automorphism groups of the profinite braid groups

Arata Minamide, Hiroaki Nakamura

In this paper we determine the automorphism groups of the profinite braid groups with four or more strings in terms of the profinite Grothendieck-Teichmüller group.