8 citations · 29 across the 17 of their papers we have counts for
8 papers · 1 filter
Restricted configuration spaces
Barbu Rudolf Berceanu
Finitely many hypersurfaces are removed from unordered configuration spaces of points in to obtain a fibration over unordered configuration spaces of complex…
Cohomology of 3-points configuration spaces of complex projective spaces
Samia Ashraf, Barbu Berceanu
We compute the Betti numbers and describe the cohomology algebras of the ordered and unordered configuration spaces of three points in complex projective spaces, including the infi…
Representation theory for the Kriz model
Samia Ashraf, Haniya Azam, Barbu Berceanu
The natural action of the symmetric group on the configuration spaces F(X; n) induces an action on the Kriz model E(X; n). The represen- tation theory of this DGA is studied and a…
Fundamental Group of Desargues Configuration Spaces
Barbu Berceanu, Saima Parveen
We compute the fundamental group of various spaces of Desargues configurations in complex projective spaces: planar and non-planar configurations, with a fixed center and also with…
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…