Publications [#339911] of Mark A. Stern

Papers Published

1. Lipnowski, M; Stern, M, Geometry of the Smallest 1-form Laplacian Eigenvalue on Hyperbolic Manifolds, Geometric and Functional Analysis, vol. 28 no. 6 (December, 2018), pp. 1717-1755, Springer Nature [doi]
   (last updated on 2025/07/04)

   Abstract:
   We relate small 1-form Laplacian eigenvalues to relative cycle complexity on closed hyperbolic manifolds: small eigenvalues correspond to closed geodesics no multiple of which bounds a surface of small genus. We describe potential applications of this equivalence principle toward proving optimal torsion homology growth in families of hyperbolic 3-manifolds Benjamini–Schramm converging to H³.