From the 1 of 3 linked papers with an AI index.
3 papers
math.GT2026
Filling 1-cycles, 2-cycle complexity, and torsion growth
Cameron Gates Rudd
The paper studies how filling inequalities for 1‑cycles in 2‑complexes with trivial first Betti number relate to the complexity of their second homology and to the growth of torsio…
math.GT2026
Magnetic geodesics, Hodge Laplacian eigenvalues, and isoperimetric inequalities
Cameron Gates Rudd
An isoperimetric constant relating length and stable area, or alternatively for hyperbolic manifolds, length and stable commutator length, serves as a Cheeger constant for the smal…
math.GT2026
Property (T) and Poincaré duality in dimension three
Cameron Gates Rudd
We use a recent result of Bader and Sauer on coboundary expansion to prove residually finite three-dimensional Poincaré duality groups never have property (T). This implies such g…