A global combinatorial obstruction shows that no triple-girth product structure with support sizes m,n ≥ 2 admits a coherent orientation satisfying the no-fold and triple-girth conditions simultaneously.
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2 Pith papers cite this work. Polarity classification is still indexing.
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2026 2verdicts
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Establishes Strong Atiyah Conjecture for finite-index torsion-free subgroups of Out(G) when G is a surface group, free group or RAAG, implying discrete von Neumann dimensions and Zero Divisor Conjecture for the group algebras.
citing papers explorer
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A global girth obstruction for Garg--Mineyev taiko product structures
A global combinatorial obstruction shows that no triple-girth product structure with support sizes m,n ≥ 2 admits a coherent orientation satisfying the no-fold and triple-girth conditions simultaneously.
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Outer automorphism groups and the Atiyah Conjecture
Establishes Strong Atiyah Conjecture for finite-index torsion-free subgroups of Out(G) when G is a surface group, free group or RAAG, implying discrete von Neumann dimensions and Zero Divisor Conjecture for the group algebras.