3 citations · 6 across the 7 of their papers we have counts for
8 papers
Symmetric Dellac configurations
Ange Bigeni, Evgeny Feigin
We define symmetric Dellac configurations as the Dellac configurations that are symmetric with respect to their centers. The symmetric Dellac configurations whose lengths are even…
Symmetric Dellac configurations and symplectic/orthogonal flag varieties
Ange Bigeni, Evgeny Feigin
The goal of this paper is to study the link between the topology of the degenerate flag varieties and combinatorics of the Dellac configurations. We define three new classes of alg…
Combinatorial interpretations of the Kreweras triangle in terms of subset tuples
Ange Bigeni
We show how the combinatorial interpretation of the normalized median Genocchi numbers in terms of multiset tuples, defined by Hetyei in his study of the alternation acyclic tourna…
A generalization of the Kreweras triangle through the universal weight system
Ange Bigeni
In the theory of finite order knot invariants, the universal weight system maps the chord diagrams to polynomials in a single variable with integer coefficients. In t…
Enumerating the symplectic Dellac configurations
Ange Bigeni
Fang and Fourier defined the symplectic Dellac configurations in order to parametrize the torus fixed points of the symplectic degenerated flag varieties, and conjectured that thei…
A new bijection relating -Eulerian polynomials
Ange Bigeni
On the set of permutations of a finite set, we construct a bijection which maps the 3-vector of statistics to a 3-vector as…