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
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…
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…