Zobrazeno 1 - 10
of 108
pro vyhledávání: '"LAWTON, SEAN"'
We study the relative SU(2,1)-character varieties of the one-holed torus, and the action of the mapping class group on them. We use an explicit description of the character variety of the free group of rank two in SU(2,1) in terms of traces, which al
Externí odkaz:
http://arxiv.org/abs/2402.10838
Autor:
Florentino, Carlos, Lawton, Sean
Given $\mathbf{n}=(n_{1},\ldots,n_{r})\in\mathbb{N}^r$, let $\Gamma_{\mathbf{n}}$ be a group presentable as $\left\langle \gamma_{1},\ldots,\gamma_{k}\:|\:\gamma_{1}^{n_{1}}=\gamma_{2}^{n_{2}}=\cdots=\gamma_{r}^{n_{r}}\right\rangle. $ If $\gcd(n_i,n_
Externí odkaz:
http://arxiv.org/abs/2401.15228
Utilizing KAM theory, we show that there are certain levels in relative SU(2) and SU(3) character varieties of the once-punctured torus where the action of a single hyperbolic element is not ergodic.
Comment: 36 pages, 4 figures, accepted for pu
Comment: 36 pages, 4 figures, accepted for pu
Externí odkaz:
http://arxiv.org/abs/2206.14183
Autor:
Burelle, Jean-Philippe, Lawton, Sean
Publikováno v:
Conform. Geom. Dyn. 26 (2022), 194-207
Let R(N,G) be the connected component of the identity of the variety of representations of a finitely generated nilpotent group N into a connected compact Lie group G, and let X(N,G) be the corresponding moduli space. We show that there exists a natu
Externí odkaz:
http://arxiv.org/abs/2111.11922
Publikováno v:
Rev Mat Complut (2024)
Let R be the connected component of the identity of the variety of representations of a finitely generated nilpotent group N into a connected reductive complex affine algebraic group G. We determine the mixed Hodge structure on the representation var
Externí odkaz:
http://arxiv.org/abs/2110.07060
Publikováno v:
Journal of Symplectic Geometry, Volume 20 (2022), Number 6, 1255-1312
Let G be a compact Lie group or a complex reductive affine algebraic group. We explore induced mappings between G-character varieties of surface groups by mappings between corresponding surfaces. It is shown that these mappings are generally Poisson.
Externí odkaz:
http://arxiv.org/abs/2104.05589
Autor:
Florentino, Carlos, Lawton, Sean
Publikováno v:
Topology Appl.341(2024), Paper No. 108756
A finitely presented group F is called flawed if Hom(F,G)//G deformation retracts onto its subspace Hom(F,K)/K for reductive affine algebraic groups G and maximal compact subgroups K in G. After discussing generalities concerning flawed groups, we sh
Externí odkaz:
http://arxiv.org/abs/2012.08481
Autor:
Florentino, Carlos, Lawton, Sean
Publikováno v:
In Topology and its Applications 1 January 2024 341
Publikováno v:
Ergodic Theory and Dynamical Systems, 1-15 (2020)
Let $\Sigma$ be a compact orientable surface of genus $g=1$ with $n=1$ boundary component. The mapping class group $\Gamma$ of $\Sigma$ acts on the SU(3)-character variety of $\Sigma$. We show that the action is ergodic with respect to the natural sy
Externí odkaz:
http://arxiv.org/abs/1909.10968
Publikováno v:
Annales Henri Lebesgue, Volume 5 (2022), pp. 93-140
Let G be a connected reductive complex affine algebraic group, and let X denote the moduli space of G-valued representations of a rank r free group. We first characterize the singularities in X, extending a theorem of Richardson and proving a Mumford
Externí odkaz:
http://arxiv.org/abs/1908.02915