Zobrazeno 1 - 10
of 44
pro vyhledávání: '"Sardar Pranab"'
Autor:
Sardar, Pranab, Tomar, Ravi
A typical question addressed in this paper is the following. Suppose $Z\subset Y\subset X$ are hyperbolic spaces where $Z$ is quasiconvex in both $Y$ and $X$. Let $\HAT{Y}$ and $\HAT{X}$ denote the spaces obtained from $Y$ and $X$ respectively by con
Externí odkaz:
http://arxiv.org/abs/2303.01050
Autor:
Kapovich, Michael, Sardar, Pranab
We give an alternative proof of the Bestvina--Feighn combination theorem for trees hyperbolic spaces and describe uniform quasigeodesics in such spaces. As one of the applications, we prove the existence of Cannon-Thurston maps for inclusion maps of
Externí odkaz:
http://arxiv.org/abs/2202.09526
Autor:
Sardar, Pranab, Tomar, Ravi
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 complex of hyperbolic groups with finite edge groups is hyperbolic in whi
Externí odkaz:
http://arxiv.org/abs/2107.04985
Autor:
Mj, Mahan, Sardar, Pranab
Let $1 \to K \longrightarrow G \stackrel{\pi}\longrightarrow Q$ be an exact sequence of hyperbolic groups. Let $Q_1 < Q$ be a quasiconvex subgroup and let $G_1=\pi^{-1}(Q_1)$. Under relatively mild conditions (e.g. if $K$ is a closed surface group or
Externí odkaz:
http://arxiv.org/abs/2009.11521
Autor:
Krishna, Swathi, Sardar, Pranab
In this version of the paper the exposition is improved and gaps in some of the arguments filled following referee comments. We also include an appendix explaining the equivalence of flaring conditions for a metric bundle and the canonical metric gra
Externí odkaz:
http://arxiv.org/abs/2007.13109
Autor:
Sardar, Pranab
The purpose of this article is to point out a mistake in the published paper "Graphs of hyperbolic groups and limit set intersection theorem- Proc AMS, vol 146, no 5, pp 1859--1871, which subsequently weakens the main theorem of that paper. We state
Externí odkaz:
http://arxiv.org/abs/1909.01823
Autor:
Sardar, Pranab
Minor changes in the exposition and small corrections on the previous version.
Comment: 11 pages no figure
Comment: 11 pages no figure
Externí odkaz:
http://arxiv.org/abs/1606.07264
Autor:
Sardar, Pranab
The main result of this paper is that given a group $G$ acting geometrically by isometries on a CAT(0) space $X$ and a cyclic subgroup $H$ of $G$ generated by a rank-1 isometry of $X$, $H$ has bounded packing in $G$. We give two proofs of this result
Externí odkaz:
http://arxiv.org/abs/1510.07156
Autor:
Sardar, Pranab
We show that any subgroup of a (virtually) nilpotent-by-polycyclic group satisfies the bounded packing property of Hruska-Wise. In particular, the same is true about metabelian groups and linear solvable groups. However, we find an example of a finit
Externí odkaz:
http://arxiv.org/abs/1408.2311
Autor:
Mj, Mahan, Sardar, Pranab
Publikováno v:
Geometric and Functional Analysis: Volume 22, Issue 6 (2012), Page 1636-1707
We define metric bundles/metric graph bundles which provide a purely topological/coarse-geometric generalization of the notion of trees of metric spaces a la Bestvina-Feighn in the special case that the inclusions of the edge spaces into the vertex s
Externí odkaz:
http://arxiv.org/abs/0912.2715