165 research outputs found
Aspects of the curve complex and the mapping class group
No full textEThOS - Electronic Theses Online ServiceGBUnited Kingdo
An obstruction to the strong relative hyperbolicity of a group
No full textWe give a simple combinatorial criterion for a group that,
when satisfied, implies the group cannot be strongly relatively
hyperbolic. Our criterion applies to several classes of groups, such
as surface mapping class groups, Torelli groups, and automorphism
and outer automorphism groups of free groups
Free subgroups of surface mapping class groups
No full textWe quantify the generation of free subgroups of surface mapping class groups by pseudo-Anosov mapping classes in terms of their translation distance and the distance between their axes in Teichmueller's metric. The method makes reference to Teichmueller space only
Corrigendum to "free subgroups of surface mapping class groups"
No full textWe provide a corrigendum to the results of Conform. Geom. Dyn. 11 (2007), 44-55, pointing out an error in the proofs of Propositions 4.3 and 5.4 and providing corrected statements
Uniformly exponential growth and mapping class groups of surfaces
No full textWe show that the mapping class group (as well as closely related groups) of an orientable surface with finitely generated fundamental group has uniformly exponential growth. We further demonstrate the uniformly non-amenability of many of these groups
Early Cenozoic benthic foraminiferal isotopes from ODP Hole 171-1052B
No full textData include also Shackleton N.J. unpublished data (1999
Geodesic axes in the pants complex of the five-holed sphere
No full textAbstractWe study the synthetic geometry of the pants graph of the 5-holed sphere, establishing the existence of geodesics connecting any vertex or ideal point to any ideal point. We prove the existence of geodesic axes for sufficiently high powers of any pseudo-Anosov mapping class, and that large link hierarchies from Harveyʼs curve graph all induce geodesic paths
Top 30 Rhodes Researchers (2018)
No full textNyokong, Tebello (Distinguished Professor) Tebello Nyokong Shackleton, Charles Michael (Professor) Charlie Michael Shackleton Lotz-Sisitka, Heila (Distinguished Professor) Heila Lotz-Sisitka Helliker, Kirk (Professor) Kirk Helliker Wylie, Dan (Emeritus Professor) Dan Wylie Barry Irwin Krause, Rui (Professor) Rui Krause Chitambo, Makaiko (Professor) Makaiko Chitambo Macleod, Catriona (Distinguished Professor) Catriona Macleod Smirnov, Oleg (Professor) Oleg Smirnov Mgqwashu, Emmanuel (Professor) Emmanuel Mgqwashu Hill, Martin (Distinguished Professor) Martin Hill Edkins, Adrienne (Associate Professor) Adrienne Edkins Schafer, Marc (Professor) Marc Schafer McKenna, Sioux (Professor) Sioux McKenna Reynolds, John (Dr) John Reynolds Potts, Warren (Associate Professor) Warren Potts Bishop, Ozlem Tastan (Associate Professor) Ozlem Tastan Bishop Boughey, Chrissie (Emeritus Professor) Chrissie Boughey Mack, John (Dr) John Mack Louw, Lynette (Professor) Lynette Louw McQuaid, Christopher D (Distinguished Professor) Christopher McQuaid Msindo, Enocent (Professor) Enocent Msindo Drewett, Michael (Associate Professor) Michael Drewett Roodt, Monty J (Professor) Monty J Roodt Spencer, Lynda (Dr) Lynda Spencer Bradshaw, Karen (Associate Professor) Karen Bradshaw Froneman, William (Professor) William Froneman Bischoff, Paul-Henri (Professor) Paul-Henri Bischoff Vincent, Louise (Professor) Louise Vincent Naidu, Sam (Associate Professor) Sam Naidu Ngcoza, Kenneth (Associate Professor) Kenneth Ngcoza<p
A NOTE ON TOTALLY GEODESIC SUBGRAPHS OF THE PANTS GRAPH : on joint work with Javier Aramayona and Hugo Parlier(Topology, Complex Analysis and Arithmetic of Hyperbolic Spaces)
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