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 Formanek, Edward W
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
fields
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.
citing papers explorer
-
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.
-
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.