Develops a practical method to compute H2 for specific 3-orbifold groups, proves absolute profinite rigidity for Weeks manifold lattices, and constructs Grothendieck pairs via homology vanishing results.
and McReynolds, David B
2 Pith papers cite this work. Polarity classification is still indexing.
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math.GR 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Under the Strong Atiyah Conjecture and vanishing b1^(2), L2-Betti numbers of character kernels define a polytope-induced Thurston seminorm on H^1(G;R), with combinatorial splitting-complexity interpretations for free-by-cyclic and admissible 3-manifold groups.
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On profinite rigidity, Grothendieck pairs, and the second homology of some $3$-orbifold groups
Develops a practical method to compute H2 for specific 3-orbifold groups, proves absolute profinite rigidity for Weeks manifold lattices, and constructs Grothendieck pairs via homology vanishing results.
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Thurston norm, polytopes and splitting complexity
Under the Strong Atiyah Conjecture and vanishing b1^(2), L2-Betti numbers of character kernels define a polytope-induced Thurston seminorm on H^1(G;R), with combinatorial splitting-complexity interpretations for free-by-cyclic and admissible 3-manifold groups.