Geodesic
The rise-contact involution on Tamari intervals
Viviane Pons1
1Univ. Paris-Sud
The electronic journal of combinatorics, Tome 26 (2019) no. 2
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We describe an involution on Tamari intervals and $m$-Tamari intervals. This involution switches two sets of statistics known as the "rises" and the "contacts" and so proves an open conjecture from Préville-Ratelle on intervals of the $m$-Tamari lattice.
DOI : 10.37236/7698
Classification : 05A19, 05C05, 05E99, 06A06, 06B35
Mots-clés : \(m\)-Tamari lattice

Viviane Pons  1

1 Univ. Paris-Sud 
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     title = {The rise-contact involution on {Tamari} intervals},
     journal = {The electronic journal of combinatorics},
     year = {2019},
     volume = {26},
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     doi = {10.37236/7698},
     zbl = {1414.05045},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/7698/}
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Viviane Pons. The rise-contact involution on Tamari intervals. The electronic journal of combinatorics, Tome 26 (2019) no. 2. doi: 10.37236/7698

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