Apeksha Sanghi

activity

20202026

most citedInfinite metacyclic subgroups of the mapping class group

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

collaborators

8 papers

math.NT2026

Weighted Fruit Diophantine Equations and Hyperelliptic Curves

Jewel Mahajan, Apeksha Sanghi

We study the weighted fruit Diophantine equation $a x^{d} - c (m^{2} y^{2} + n^{2} z^{2}) + x y z - b = 0$ , generalising previous work by Majumdar--Sury, Vaishya--Sharma, and Pra…

math.GT2025

Liftability of periodic mapping classes under alternating covers

Apeksha Sanghi, Kashyap Rajeevsarathy, Rajesh Dey

Let $S_{g}$ be the closed orientable surface of genus $g \geq 2$ , and let $Mod (S_{g})$ be the mapping class group of $S_{g}$ . Let $A_{n}$ denote the alternating group on $n$ lette…

math.GT2024

Orderability of big mapping class groups

Pravin Kumar, Apeksha Sanghi, Mahender Singh

We give an alternate proof of the left-orderability of the mapping class group of a connected oriented infinite-type surface with a non-empty boundary. Our main strategy involves t…

math.GT2024

Twisted Rokhlin property for mapping class groups

Pravin Kumar, Apeksha Sanghi, Mahender Singh

In this paper, generalising the idea of the Rokhlin property, we explore the concept of the twisted Rokhlin property of topological groups. A topological group is said to exhibit t…

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…