20 citations · 47 across the 8 of their papers we have counts for
11 papers
Mapping class groups have a unique Polish group structure
Tyrone Ghaswala, Sumun Iyer, Robert Alonzo Lyman +1
We prove that mapping class groups of surfaces and of locally finite connected graphs support a unique Polish group structure.
Rigidity of braid group actions on and of low-genus mapping class group actions on
Idrissa Ba, Adam Clay, Tyrone Ghaswala
Every nontrivial action of the braid group on by orientation-preserving homeomorphisms yields, up to conjugation by a homeomorphism of , a representa…
Cofinal elements and fractional Dehn twist coefficients
Adam Clay, Tyrone Ghaswala
We show that for a surface with positive genus and one boundary component, the mapping class of a Dehn twist along a curve parallel to the boundary is cofinal in every left ord…
Circularly ordering direct products and the obstruction to left-orderability
Adam Clay, Tyrone Ghaswala
Motivated by the recent result that left-orderability of a group is intimately connected to circular orderability of direct products , we provi…
Homeomorphic subsurfaces and the omnipresent arcs
Federica Fanoni, Tyrone Ghaswala, Alan McLeay
In this article, we are concerned with various aspects of arcs on surfaces. In the first part, we deal with topological aspects of arcs and their complements. We use this understan…
Promoting circular-orderability to left-orderability
Jason Bell, Adam Clay, Tyrone Ghaswala
Motivated by recent activity in low-dimensional topology, we provide a new criterion for left-orderability of a group under the assumption that the group is circularly-orderable: A…
Big Torelli groups: generation and commensuration
Javier Aramayona, Tyrone Ghaswala, Autumn E. Kent +3
For any surface of infinite topological type, we study the Torelli subgroup of the mapping class group , whose elements are those mapping classe…
Free products of circularly-ordered groups with amalgamated subgroup
Adam Clay, Tyrone Ghaswala
This paper gives necessary and sufficient conditions that the free product with amalgamation of circularly-ordered groups admit a circular ordering extending the given orderings of…
Mapping class groups of covers with boundary and braid group embeddings
Tyrone Ghaswala, Alan McLeay
We consider finite-sheeted, regular, possibly branched covering spaces of compact surfaces with boundary and the associated liftable and symmetric mapping class groups. In particul…
Lifting Homeomorphisms and Cyclic Branched Covers of Spheres
Tyrone Ghaswala, Rebecca R. Winarski
We characterize the cyclic branched covers of the 2-sphere where every homeomorphism of the sphere lifts to a homeomorphism of the covering surface. This answers a question that ap…
The liftable mapping class group of balanced superelliptic covers
Tyrone Ghaswala, Rebecca R. Winarski
The hyperelliptic mapping class group has been studied in various contexts within topology and algebraic geometry. What makes this study tractable is that there is a surjective map…