Zobrazeno 1 - 10
of 295
pro vyhledávání: '"Clay, Adam"'
A $d$-dimensional tensegrity framework $(T,p)$ is an edge-labeled geometric graph in ${\mathbb R}^d$, which consists of a graph $T=(V,B\cup C\cup S)$ and a map $p:V\to {\mathbb R}^d$. The labels determine whether an edge $uv$ of $T$ corresponds to a
Externí odkaz:
http://arxiv.org/abs/2410.07452
We give a new criterion which guarantees that a free group admits a bi-ordering that is invariant under a given automorphism. As an application, we show that the fundamental group of the "magic manifold" is bi-orderable, answering a question of Kin a
Externí odkaz:
http://arxiv.org/abs/2406.18876
Autor:
Clay, Adam, Lu, Junyu
Given a $3$-manifold $M$ with multiple incompressible torus boundary components, we develop a general definition of order-detection of tuples of slopes on the boundary components of $M$. In parallel, we arrive at a general definition of representatio
Externí odkaz:
http://arxiv.org/abs/2402.15465
Every nontrivial action of the braid group $B_n$ on $\mathbb{R}$ by orientation-preserving homeomorphisms yields, up to conjugation by a homeomorphism of $\mathbb{R}$, a representation $\rho : B_n \rightarrow \mathrm{H\widetilde{ome}o}_+(S^1)$ and th
Externí odkaz:
http://arxiv.org/abs/2312.10727
Autor:
Calderoni, Filippo, Clay, Adam
We discuss condensed left-orderings and develop new techniques to show that the conjugacy relation on the space of left-orderings is not smooth. These techniques apply to the solvable Baumslag Solitar groups and to Thompson's group F.
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Externí odkaz:
http://arxiv.org/abs/2312.04993
Autor:
Calderoni, Filippo, Clay, Adam
We develop new tools to analyze the complexity of the conjugacy equivalence relation $E_\mathsf{lo}(G)$, whenever $G$ is a left-orderable group. Our methods are used to demonstrate non-smoothness of $E_\mathsf{lo}(G)$ for certain groups $G$ of dynami
Externí odkaz:
http://arxiv.org/abs/2305.03927