Noncrossing partitions, toggles, and homomesies
We introduce n(n-1)/2 natural involutions ("toggles") on the set S of non-crossing partitions π of size n, along with certain composite operations obtained by composing these involutions. We show that for many operations T of this kind, a surprisingly large family of functions f on S (incl...
Main Authors: | Einstein, David, Gunawan, Emily, Macauley, Matthew, Joseph, Michael, Propp, James, Rubinstein-Salzedo, Simon, Farber, Miriam |
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Other Authors: | Massachusetts Institute of Technology. Department of Mathematics |
Format: | Article |
Language: | en_US |
Published: |
European Mathematical Information Service (EMIS)
2017
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Online Access: | http://hdl.handle.net/1721.1/107421 https://orcid.org/0000-0002-1427-506X |
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