Geodesic
Combinatorial study of Dellac configurations and \(q\)-extended normalized median Genocchi numbers
Ange Bigeni1
1Université Claude Bernard Lyon 1
The electronic journal of combinatorics, Tome 21 (2014) no. 2
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In two recent papers, Feigin proved that the Poincaré polynomials of the degenerate flag varieties have a combinatorial interpretation through Dellac configurations, and related them to the $q$-extended normalized median Genocchi numbers $\bar{c}_n(q)$ introduced by Han and Zeng, mainly by geometric considerations. In this paper, we give combinatorial proofs of these results by constructing statistic-preserving bijections between Dellac configurations and two other combinatorial models of $\bar{c}_n(q)$.
DOI : 10.37236/4068
Classification : 05A10, 05A30, 14M15, 11B68, 05E10
Mots-clés : Genocchi numbers, Dumont permutations, Dellac configurations, Dellac histories

Ange Bigeni  1

1 Université Claude Bernard Lyon 1 
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     title = {Combinatorial study of {Dellac} configurations and \(q\)-extended normalized median {Genocchi} numbers},
     journal = {The electronic journal of combinatorics},
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     number = {2},
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Ange Bigeni. Combinatorial study of Dellac configurations and \(q\)-extended normalized median Genocchi numbers. The electronic journal of combinatorics, Tome 21 (2014) no. 2. doi: 10.37236/4068

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