Toggleability Spaces of Fences
Copyright policy )Toggleability Spaces of Fences
We completely describe the order ideal (resp. antichain) toggleability space for general fences: the space of statistics which are linear combinations of order ideal (antichain) indicator functions and equal to a constant plus a linear combination of toggleability statistics. This allows us to strengthen some homomesies under rowmotion on fences proven by Elizalde et al. and prove some new homomesy results for combinatorial, piecewise-linear, and birational rowmotion.
- Clemson University United States
Group actions on combinatorial structures, Combinatorics of partially ordered sets, rowmotion, fence poset, homometry, tiling, FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), homomesy
Group actions on combinatorial structures, Combinatorics of partially ordered sets, rowmotion, fence poset, homometry, tiling, FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), homomesy
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