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pro vyhledávání: '"Forester, Max"'
Autor:
Forester, Max, Remling, Christian
We study the topological properties of spaces of reflectionless canonical systems. In this analysis, a key role is played by a natural action of the group $\operatorname{PSL}(2,\mathbb R)$ on these spaces.
Externí odkaz:
http://arxiv.org/abs/2409.04862
Autor:
Forester, Max, Martino, Anthony
We prove an accessibility theorem for finite-index splittings of groups. Given a finitely presented group G there is a number n(G) such that, for every reduced locally finite G-tree T with finitely generated stabilizers, T/G has at most n(G) vertices
Externí odkaz:
http://arxiv.org/abs/2404.10184
Autor:
Forester, Max, Malestein, Justin
We give a new proof of rationality of stable commutator length (scl) of certain elements in surface groups: those represented by curves that do not fill the surface. Such elements always admit extremal surfaces for scl. These results also hold more g
Externí odkaz:
http://arxiv.org/abs/2212.14086
Autor:
Forester, Max
This paper concerns locally finite 2-complexes $X_{m,n}$ which are combinatorial models for the Baumslag-Solitar groups $BS(m,n)$. We show that, in many cases, the locally compact group Aut($X_{m,n}$) contains incommensurable uniform lattices. The la
Externí odkaz:
http://arxiv.org/abs/2207.14703
Publikováno v:
Publ. Mat. 64 (2020), no. 1, 233-253
We show that in any right-angled Artin group whose defining graph has chromatic number $k$, every non-trivial element has stable commutator length at least $1/(6k)$. Secondly, if the defining graph does not contain triangles, then every non-trivial e
Externí odkaz:
http://arxiv.org/abs/1710.10542
Akademický článek
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We study the SL(2,R)-infimal lengths of simple closed curves on half-translation surfaces. Our main result is a characterization of Veech surfaces in terms of these lengths. We also revisit the "no small virtual triangles" theorem of Smillie and Weis
Externí odkaz:
http://arxiv.org/abs/1605.01772
Autor:
Brady, Noel, Forester, Max
We construct CAT(0) groups containing subgroups whose Dehn functions are given by $x^s$, for a dense set of numbers $s \in [2, \infty)$. This significantly expands the known geometric behavior of subgroups of CAT(0) groups.
Comment: 48 pages, 13
Comment: 48 pages, 13
Externí odkaz:
http://arxiv.org/abs/1602.08379
We construct new families of quasimorphisms on many groups acting on CAT(0) cube complexes. These quasimorphisms have a uniformly bounded defect of 12, and they "see" all elements that act hyperbolically on the cube complex. We deduce that all such e
Externí odkaz:
http://arxiv.org/abs/1602.05637
Autor:
Carter, William, Forester, Max
We show that the Stallings-Bieri groups, along with certain other Bestvina-Brady groups, have quadratic Dehn function.
Comment: 13 pages, 3 figures. v2: added lemma 4.9, and further minor revisions
Comment: 13 pages, 3 figures. v2: added lemma 4.9, and further minor revisions
Externí odkaz:
http://arxiv.org/abs/1509.07539