A geometric interpretation of the intertwining number

Mahir Bilen Can, Yonah Cherniavsky, Martin Rubey

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


We exhibit a connection between two statistics on set partitions, the intertwining number and the depth-index. In particular, results link the intertwining number to the algebraic geometry of Borel orbits. Furthermore, by studying the generating polynomials of our statistics, we determine the q = −1 specialization of a q-analogue of the Bell numbers. Finally, by using Renner’s H-polynomial of an algebraic monoid, we introduce and study a t-analog of q-Stirling numbers.

Original languageEnglish
Article number#P2.7
JournalElectronic Journal of Combinatorics
Issue number2
StatePublished - 2019


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