Pankaj Kapari

activity

20212026

most citedInfinite metacyclic subgroups of the mapping class group

1 citations · 2 across the 7 of their papers we have counts for

collaborators

7 papers

math.GT2026

Baumslag-Solitar subgroups of the mapping class group

Pankaj Kapari, Dev Krishna, Kashyap Rajeevsarathy

For $g \geq 2$ and nonzero integers $p, q$ , let $Mod (S_{g})$ be the mapping class group of a closed oriented surface $S_{g}$ of genus $g$ , and let $BS (p, q)$ be the Baum…

math.GT2026

Dehn quandles of surfaces and their bounded cohomology

Pankaj Kapari, Deepanshi Saraf, Mahender Singh

We introduce new families of quandles associated with closed orientable surfaces that can distinguish surfaces up to homeomorphism. These quandles generalize the classical Dehn qua…

math.GT2025

Liftable mapping class groups of certain branched covers of torus

Pankaj Kapari

Let $S_{g, n}$ be a closed oriented hyperbolic surface of genus $g$ with $n$ marked points, with the understanding that $S_{g, 0} = S_{g}$ . Let $Mod (S_{h, n})$ be the mapping cla…

math.GT2024

Liftable mapping class groups of regular abelian covers

Neeraj K. Dhanwani, Pankaj Kapari, Kashyap Rajeevsarathy +1

Let $S_{g}$ be the closed oriented surface of genus $g \geq 0$ , and let $Mod (S_{g})$ be the mapping class group of $S_{g}$ . For $g \geq 2$ , we develop an algorithm to obtain a fi…

math.GT2023

Generating the liftable mapping class groups of cyclic covers of spheres

Pankaj Kapari, Kashyap Rajeevsarathy, Apeksha Sanghi

For $g \geq 2$ , let $Mod (S_{g})$ be the mapping class group of closed orientable surface $S_{g}$ of genus $g$ . In this paper, we derive a finite generating set for the liftable m…

math.GT2022★ 1 cited

Infinite metacyclic subgroups of the mapping class group

Pankaj Kapari, Kashyap Rajeevsarathy, Apeksha Sanghi

For $g \geq 2$ , let $Mod (S_{g})$ be the mapping class group of the closed orientable surface $S_{g}$ of genus $g$ . In this paper, we provide necessary and sufficient conditions f…

math.GT2021★ 1 cited

General primitivity in the mapping class group

Pankaj Kapari, Kashyap Rajeevsarathy

For $g \geq 2$ , let $Mod (S_{g})$ be the mapping class group of the closed orientable surface $S_{g}$ of genus $g$ . In this paper, we obtain necessary and sufficient conditions…