8 citations · 29 across the 17 of their papers we have counts for
4 papers · 2 filters
Simple Braids
Rehana Ashraf, Barbu Berceanu
We study a subset of square free positive braids and we give a few algebraic characterizations of them and one geometric characterization: the set of positive braids whose closures…
Recurrence relation for HOMFLY polynomial and rational specializations
Rehana Ashraf, Barbu Berceanu
Turning the skein relation for HOMFLY into a Fibonacci recurrence, we prove that there are only three rational specializations of HOMFLY polynomial: Alexander-Conway, Jones, and a…
Recurrence relation for Jones polynomials
Barbu Berceanu, Abdul Rauf Nizami
Using a simple recurrence relation we give a new method to compute Jones polynomials of closed braids: we find a general expansion formula and a rational generating function for Jo…
Braid groups in complex projective spaces
Barbu Berceanu, Saima Parveen
We describe the fundamental groups of ordered and unordered k point sets in complex projective space of dimension n generating a projective subspace of dimension i. We apply these…