5 papers
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…