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math.AT2019
The agrarian polytope of two-generator one-relator groups
Fabian Henneke, Dawid Kielak
Relying on the theory of agrarian invariants introduced in previous work, we solve a conjecture of Friedl-Tillmann: we show that the marked polytopes they constructed for two-gener…
math.AT2019
The Farrell-Jones Conjecture for normally poly-free groups
Benjamin Brück, Dawid Kielak, Xiaolei Wu
We prove the - and -theoretic Farrell-Jones Conjecture with coefficients in an additive category for every normally poly-free group, in particular for even Artin groups of FC…
math.AT2018
Agrarian and -invariants
Fabian Henneke, Dawid Kielak
We develop the theory of agrarian invariants, which are algebraic counterparts to -invariants. Specifically, we introduce the notions of agrarian Betti numbers, agrarian acycl…