3 papers
math.GT2026
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…
math.GT2025
Second bounded cohomology of knot quandles
Deepanshi Saraf, Mahender Singh
In this paper, we explore the bounded cohomology of quandles and its applications to knot theory. We establish two key results that provide sufficient conditions for the infinite d…
math.QA2024
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…