Complex hyperbolic and projective deformations of small Bianchi groups

Autor: Paupert, Julien, Thistlethwaite, Morwen

The Bianchi groups ${\rm Bi}(d)={\rm PSL}(2,\mathcal{O}_d) < {\rm PSL}(2,\C)$ (where $\mathcal{O}_d$ denotes the ring of integers of $\Q (i\sqrt{d})$, with $d \geqslant 1$ squarefree) can be viewed as subgroups of ${\rm SO}(3,1)$ under the isomorphis

Externí odkaz: http://arxiv.org/abs/2208.14499

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An alternative approach to hyperbolic structures on link complements

Autor: Thistlethwaite, Morwen, Tsvietkova, Anastasiia

Publikováno v: Algebraic & Geometric Topology 14 (2014), 1307-1337

An alternative method is described for determining the hyperbolic structure on a link complement, and some of its elementary consequences are examined. The method is particularly suited to alternating links.
Comment: 32 pages, 16 figures, to app

Externí odkaz: http://arxiv.org/abs/1108.0510

Lenstra–Hurwitz cliques and the class number one problem

Autor: Long, D.D., Thistlethwaite, Morwen B.

Publikováno v: In Journal of Number Theory May 2016 162:564-577

Character Varieties For SL(3,C): The Figure Eight Knot

Autor: Falbel, Elisha, Guilloux, Antonin, Koseleff, Pierre-Vincent, Rouillier, Fabrice, Thistlethwaite, Morwen

Publikováno v: Experimental Mathematics
Experimental Mathematics, 2016, 25 (2), pp.17. ⟨10.1080/10586458.2015.1068249⟩
Experimental Mathematics, Taylor & Francis, 2016, 25 (2), pp.17. ⟨10.1080/10586458.2015.1068249⟩

We give a description of several representation varieties of the fundamental group of the complement of the figure eight knot in PGL(3,C) or SL(3,C). We moreover obtain an explicit parametrization of matrices generating the representation and a descr

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7ad0931d22f744da3007d1617a019fa0
https://inria.hal.science/hal-01362208