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...

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Bibliographic Details
Main Authors: Einstein, David, Gunawan, Emily, Macauley, Matthew, Joseph, Michael, Propp, James, Rubinstein-Salzedo, Simon, Farber, Miriam
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:en_US
Published: European Mathematical Information Service (EMIS) 2017
Online Access:http://hdl.handle.net/1721.1/107421
https://orcid.org/0000-0002-1427-506X

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