4 papers
On Geometry of Coned-Off Spaces and Cannon-Thurston Maps
Pranab Sardar, Ravi Tomar
A typical question addressed in this paper is the following. Suppose are hyperbolic spaces where is quasiconvex in both and . Let $\HAT{Y}$ and $\H…
A combination theorem for relatively hyperbolic groups and finite relative height of splitting
Ravi Tomar
In this paper, we prove a combination theorem for a relatively acylindrical graph of relatively hyperbolic groups (Theorem 1.1). Here, we are extending the technique of [Tom21] and…
Research announcement: A combination theorem for acylindrical complexes of hyperbolic groups and Cannon-Thurston maps
Pranab Sardar, Ravi Tomar
This is an announcement of some of the results obtained as a part of the second author's Ph.D. thesis. In the first part, we prove that the fundamental group of an acylindrical com…
Boundaries of graphs of relatively hyperbolic groups with cyclic edge groups
Ravi Tomar
We prove that the fundamental group of a finite graph of convergence groups with parabolic edge groups is a convergence group. Using this result, under some mild assumptions, we pr…