The Σ-invariants of Thompson's group F via Morse theory

2015/01/27 by Stefan Witzel, Matthew C. B. Zaremsky, Witzel, Stefan +1
Mathematics · #20F65 #57M07 #Advanced Operator Algebra Research #Algebraic structures and combinatorial models #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Group Theory (math.GR) #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1501.06682

openalex publication_date 2015/01/27 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28

Abstract

Bieri, Geoghegan and Kochloukova computed the BNSR-invariants Σ^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.

Related

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