189 citations · 218 across the 19 of their papers we have counts for
19 papers
Omnipersistent signatures
James W. Anderson, Aaron Wootton
In this note, we lay the groundwork for a new approach to the problem of group-signature classification of group actions on closed Riemann surfaces. This new approach first focuses…
Limit set intersection theorems for Kleinian groups and a conjecture of Susskind
James W Anderson
We continue here the investigation of the relationship between the intersection of a pair of subgroups of a Kleinian group, and in particular the limit set of that intersection, an…
Gaps in the space of skeletal signatures
James W Anderson, Aaron Wootton
Skeletal signatures were introduced in [J W Anderson and A Wootton, A Lower Bound for the Number of Group Actions on a Compact Riemann Surface, Algebr. Geom. Topol. 12 (2012) 19--3…
Relative shapes of thick subsets of moduli space
James W. Anderson, Hugo Parlier, Alexandra Pettet
A closed hyperbolic surface of genus can be decomposed into pairs of pants along shortest closed geodesics and if these curves are sufficiently short (and with lengths uni…
Prising apart geodesics by length in hyperbolic 3-manifolds
James W. Anderson
In this note, we develop a condition on a closed curve on a surface or in a 3-manifold that implies that the curve has the property that its length function on the space of all hyp…
A Lower Bound for the Number of Group Actions on a Compact Riemann Surface
James W. Anderson, Aaron Wootton
We prove that the number of distinct group actions on compact Riemann surfaces of a fixed genus is at least quadratic in . We do this through the introduction of a coa…