The Sigma-invariants of Thompson's group F via Morse theory
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🧮 math.GR
math.GT
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groupsigmathompsonactsbieribnsr-invariantscomplexcomputed
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Bieri, Geoghegan and Kochloukova computed the BNSR-invariants $\Sigma^m(F)$ of Thompson's group $F$ for all $m$. We recompute these using entirely geometric techniques, making use of the Stein--Farley CAT(0) cube complex on which $F$ acts.
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