Zobrazeno 1 - 10
of 191
pro vyhledávání: '"Leininger, Christopher"'
We show that there is a type-preserving homomorphism from the fundamental group of the figure-eight knot complement to the mapping class group of the thrice-punctured torus. As a corollary, we obtain infinitely many commensurability classes of purely
Externí odkaz:
http://arxiv.org/abs/2405.12067
We classify surface Houghton groups, as well as their pure subgroups, up to isomorphism, commensurability, and quasi-isometry.
Comment: 9 pages, 3 figures; v2 has a slightly expanded introduction with an example. To appear in Journal of Group Th
Comment: 9 pages, 3 figures; v2 has a slightly expanded introduction with an example. To appear in Journal of Group Th
Externí odkaz:
http://arxiv.org/abs/2312.15330
We provide a lower bound on the volume of the compactified mapping torus of a strongly irreducible end-periodic homeomorphism f. This result, together with work of Field, Kim, Leininger, and Loving, shows that the volume of the compactified mapping t
Externí odkaz:
http://arxiv.org/abs/2306.03279
For every $n\ge 2$, the {\em surface Houghton group} $\mathcal B_n$ is defined as the asymptotically rigid mapping class group of a surface with exactly $n$ ends, all of them non-planar. The groups $\mathcal B_n$ are analogous to, and in fact contain
Externí odkaz:
http://arxiv.org/abs/2304.04698
We prove that finitely generated, purely pseudo-Anosov subgroups of the genus $2$ handlebody group are convex cocompact.
Comment: 8 pages
Comment: 8 pages
Externí odkaz:
http://arxiv.org/abs/2304.02570
We study Veech groups associated to the pseudo-Anosov monodromies of fibers and foliations of a fixed hyperbolic 3-manifold. Assuming Lehmer's Conjecture, we prove that the Veech groups associated to fibers generically contain no parabolic elements.
Externí odkaz:
http://arxiv.org/abs/2212.13320
We show that finitely generated and purely pseudo-Anosov subgroups of fibered 3-manifolds with reducible monodromy are convex cocompact as subgroups of the mapping class group via the Birman exact sequence. Combined with results of Dowdall--Kent--Lei
Externí odkaz:
http://arxiv.org/abs/2204.04111
A subcomplex $X\leq \mathcal{C}$ of a simplicial complex is strongly rigid if every locally injective, simplicial map $X\to\mathcal{C}$ is the restriction of a unique automorphism of $\mathcal{C}$. Aramayona and the second author proved that the curv
Externí odkaz:
http://arxiv.org/abs/2204.02204
Publikováno v:
Comment. Math. Helv. 99 (2024), no. 1, pp. 149-228
We show that for any lattice Veech group in the mapping class group $\mathrm{Mod}(S)$ of a closed surface $S$, the associated $\pi_1 S$--extension group is a hierarchically hyperbolic group. As a consequence, we prove that any such extension group is
Externí odkaz:
http://arxiv.org/abs/2111.00685
Publikováno v:
In Topology and its Applications 15 April 2024 347
