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math.GT2024
Quasitoric representation of generalized braids
Neha Nanda, Manpreet Singh
In this paper, we define generalized braid theories in alignment with the language of Fenn and Bartholomew for knot theories, and compute a generating set for the pure generalized…
math.GT2018
On the lower central series of some virtual knot groups
Valeriy G. Bardakov, Neha Nanda, Mikhail V. Neshchadim
We study groups of some virtual knots with small number of crossings and prove that there is a virtual knot with long lower central series which, in particular, implies that there…
math.GT2018
Derivations of quandles
Neha Nanda, Mahender Singh, Manpreet Singh
The aim of this paper is to propose a theory of derivations for quandles. Given a quandle admitting an action by a quandle , derivations from to are introduced as tw…