K. Parkhe

activity

20112014

most citedSmooth gluing of group actions and applications

2 citations · 3 across the 5 of their papers we have counts for

collaborators

5 papers

math.GT2014

When actions of amenable groups can be lifted to the universal cover

Kiran Parkhe

In the first part of this paper, we let $G$ be a finitely-generated amenable group such that $G / [G, G]$ is torsion-free. We suppose that $G$ acts by homeomorphisms homotopic to the…

math.DS2014★ 1 cited

Smoothing nilpotent actions on 1-manifolds

Kiran Parkhe

Let $M$ be a connected 1-manifold, i.e., $M = R ≅ (0, 1), [0, 1), [0, 1]$ , or $S^{1}$ , and let $\Homeo_+(M)$ (resp. $\Diff_+^1(M)$) be the group of orientation-preserving homeom…

math.DS2012★ 2 cited

Smooth gluing of group actions and applications

Kiran Parkhe

Let $M_{1}$ and $M_{2}$ be two $n$ -dimensional smooth manifolds with boundary. Suppose we glue $M_{1}$ and $M_{2}$ along some boundary components (which are, therefore, diffeomorphic). Cal…

math.DS2012

Distortion for diffeomorphisms of surfaces with boundary

Kiran Parkhe

If $G$ is a finitely generated group with generators ${g_{1}, ..., g_{s}}$ , we say an infinite-order element $f \in G$ is a distortion element of $G$ provided that $\displaystyle \lim…

math.DS2011

One-parameter families of circle diffeomorphisms with strictly monotone rotation number

Kiran Parkhe

We show that if $f : S^{1} \times S^{1} \to S^{1} \times S^{1}$ is $C^{2}$ , with $f (x, t) = (f_{t} (x), t)$ , and the rotation number of $f_{t}$ is equal to $t$ for all $t \in S^{1}$ , then $f$ …