7 citations · 17 across the 6 of their papers we have counts for
8 papers
Biorderability of knot quandles of knots up to eight crossings
Vaishnavi Gupta, Hitesh Raundal
The paper investigates biorderability of knot quandles of prime knots up to eight crossings. We prove that knot quandles of knots , , , and can not…
Presentations of Dehn quandles
Neeraj K. Dhanwani, Hitesh Raundal, Mahender Singh
The paper gives two approaches to write explicit presentations for the class of Dehn quandles using presentations of their underlying groups. The first approach gives finite presen…
Dehn quandles of groups and orientable surfaces
Neeraj K. Dhanwani, Hitesh Raundal, Mahender Singh
Unifying various constructions of quandles including Coxeter quandles, free quandles, knot quandles of prime knots and Dehn quandles of orientable surfaces, we introduce Dehn quand…
Orderability of link quandles
Hitesh Raundal, Mahender Singh, Manpreet Singh
The paper develops a general theory of orderability of quandles with a focus on link quandles of tame links and gives some general constructions of orderable quandles. We prove tha…
Hecke algebra trace algorithm and some conjectures on weaving knots
Rama Mishra, Hitesh Raundal
Computing polynomial invariants for knots and links using braid representations relies heavily on finding the trace of Hecke algebra elements. There is no easy method known for com…
Topologies on sets of polynomial knots and the homotopy types of the respective spaces
Hitesh Raundal
A polynomial knot in is a smooth embedding of in such that the component functions are real polynomials. In the earlier paper with Mishra…
Some spaces of polynomial knots
Hitesh Raundal, Rama Mishra
In this paper we study the topology of three different kinds of spaces associated to polynomial knots of degree at most , for . We denote these spaces by …
Spaces of polynomial knots in low degree
Rama Mishra, Hitesh Raundal
We show that all knots up to crossings can be represented by polynomial knots of degree at most , among which except for and all a…