Poincaré duality and resonance varieties

Abstract

We explore the constraints imposed by Poincaré duality on the resonance varieties of a graded algebra. For a 3-dimensional Poincaré duality algebra $A$, we obtain a fairly precise geometric description of the resonance varieties ${\mathcal{R}}_k^i(A)$.

26 pages; accepted for publication in the Proceedings of the Royal Society of Edinburgh Section A: Mathematics

References in corpus (3)

• Algebraic invariants for right-angled Artin groups
• Pure virtual braids, resonance, and formality
• Geometries arising from trilinear forms on low-dimensional vector spaces

Cited by in corpus (2)

• Cohomology jump loci of 3-manifolds
• Cohomology, Bocksteins, and resonance varieties in characteristic 2