Zobrazeno 1 - 10
of 220
pro vyhledávání: '"CALEGARI, DANNY"'
Autor:
Calegari, Danny, Loukidou, Ino
If $M$ is a hyperbolic 3-manifold fibering over the circle, the fundamental group of $M$ acts faithfully by homeomorphisms on a circle (the circle at infinity of the universal cover of the fiber), preserving a pair of invariant (stable and unstable)
Externí odkaz:
http://arxiv.org/abs/2411.15610
Autor:
Calegari, Danny
A wiggle is an embedded curve in the plane that is the attractor of an iterated function system associated to a complex parameter z. We show the space of wiggles is disconnected -- i.e. there is a wiggle island.
Comment: 7 pages, 6 figures
Comment: 7 pages, 6 figures
Externí odkaz:
http://arxiv.org/abs/2205.11442
Autor:
Calegari, Danny
We introduce an analog in the context of rational maps of the idea of hyperbolic Dehn surgery from the theory of Kleinian groups. A surgery sequence is a sequence of postcritically finite maps limiting (in a precise manner) to a postcritically finite
Externí odkaz:
http://arxiv.org/abs/2202.09832
Autor:
Calegari, Danny, Chen, Lvzhou
Let S be a surface and let Mod(S,K) be the mapping class group of S permuting a Cantor subset K of S. We prove two structure theorems for normal subgroups of Mod(S,K). (Purity:) if S has finite type, every normal subgroup of Mod(S,K) either contains
Externí odkaz:
http://arxiv.org/abs/2110.07839
Autor:
Calegari, Danny
The shift locus is the space of normalized polynomials in one complex variable for which every critical point is in the attracting basin of infinity. The method of sausages gives a (canonical) decomposition of the shift locus in each degree into (cou
Externí odkaz:
http://arxiv.org/abs/2108.12653
Autor:
Calegari, Danny
Publikováno v:
Pacific J. Math. 329 (2024) 39-61
The Tautological Lamination arises in holomorphic dynamics as a combinatorial model for the geometry of 1-dimensional slices of the Shift Locus. In each degree $q$ the tautological lamination defines an iterated sequence of partitions of $1$ (one for
Externí odkaz:
http://arxiv.org/abs/2106.00578
Autor:
Calegari, Danny
For each $d>1$ the shift locus of degree $d$, denoted ${\mathcal S}_d$, is the space of normalized degree $d$ polynomials in one complex variable for which every critical point is in the attracting basin of infinity under iteration. It is a complex a
Externí odkaz:
http://arxiv.org/abs/2105.11265
Autor:
Calegari, Danny
Publikováno v:
Algebr. Geom. Topol. 21 (2021) 2523-2541
A co-oriented foliation F of an oriented 3-manifold M is taut if and only if there is a map from M to the 2-sphere whose restriction to every leaf is a branched cover.
Comment: 12 pages; version 2: minor typos corrected; added remark on branched
Comment: 12 pages; version 2: minor typos corrected; added remark on branched
Externí odkaz:
http://arxiv.org/abs/2003.10470
Given a finite subgroup G of the mapping class group of a surface S, the Nielsen realization problem asks whether G can be realized as a finite group of homeomorphisms of S. In 1983, Kerckhoff showed that for S a finite-type surface, any finite subgr
Externí odkaz:
http://arxiv.org/abs/2002.09760