6 citations · 32 across the 17 of their papers we have counts for
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Closed 1-Forms in Topology and Geometric Group Theory
Michael Farber, Ross Geoghegan, Dirk Schuetz
In this article we describe relations of the topology of closed 1-forms to the group theoretic invariants of Bieri-Neumann-Strebel-Renz. Starting with a survey, we extend these Sig…
Sigma Invariants of Direct Products of Groups
Robert Bieri, Ross Geoghegan
The Product Conjecture for the homological Bieri-Neumann-Strebel-Renz invariants is proved over a field. Under certain hypotheses the Product Conjecture is shown to also hold over…
The Sigma Invariants of Thompson's Group F
Robert Bieri, Ross Geoghegan, Dessislava Kochloukova
Thompson's group F is the group of all increasing dyadic piecewise linear homeomorphisms of the closed unit interval. We compute Sigma^m(F) and Sigma^m(F;Z), the homotopical and ho…