1 citations · 3 across the 5 of their papers we have counts for
6 papers
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…
Bounded cohomology of fundamental quandles of links
Deepanshi Saraf, Mahender Singh
We study bounded cohomology of quandles, a recently introduced framework bringing geometric methods into quandle theory. We establish two general criteria guaranteeing the infinite…
Automorphisms, cohomology and extensions of symmetric quandles
Biswadeep Karmakar, Deepanshi Saraf, Mahender Singh
It is well-known that the cohomology of symmetric quandles generates robust cocycle invariants for unoriented classical and surface links. Expanding on the recently introduced modu…
Fundamental -quandles of links are residually finite
Neeraj Kumar Dhanwani, Deepanshi Saraf, Mahender Singh
In this paper, we investigate the residual finiteness and subquandle separability of quandles, properties that respectively imply the solvability of the word problem and the genera…
Generalized (co)homology of symmetric quandles over homogeneous Beck modules
Biswadeep Karmakar, Deepanshi Saraf, Mahender Singh
A quandle equipped with a good involution is referred to as symmetric. It is known that the cohomology of symmetric quandles gives rise to strong cocycle invariants for classical a…
Generalised Legendrian racks of Legendrian links
Biswadeep Karmakar, Deepanshi Saraf, Mahender Singh
A generalised Legendrian rack is a rack equipped with a Legendrian structure, which is a pair of maps encoding the information of Legendrian Reidemeister moves together with up and…