From the 1 of 4 linked papers with an AI index.
4 papers
Baumslag-Solitar subgroups of the mapping class group
Pankaj Kapari, Dev Krishna, Kashyap Rajeevsarathy
The paper determines exactly when two mapping classes generate a Baumslag‑Solitar subgroup of the mapping class group of a closed surface, showing that only the case |p|=|q| occurs…
Dehn quandles of surfaces and their bounded cohomology
Pankaj Kapari, Deepanshi Saraf, Mahender Singh
We introduce new families of quandles that serve as invariants for classifying closed orientable surfaces. These families generalize the classical Dehn quandle and are defined, res…
Liftable mapping class groups of certain branched covers of torus
Pankaj Kapari
Let be a closed oriented hyperbolic surface of genus with marked points, with the understanding that . Let be the mapping cla…
Liftable mapping class groups of regular abelian covers
Neeraj K. Dhanwani, Pankaj Kapari, Kashyap Rajeevsarathy +1
Let be the closed oriented surface of genus , and let be the mapping class group of . For , we develop an algorithm to obtain a fi…