Matrix group integrals, surfaces, and mapping class groups II: O(n) and Sp(n)
(2022)
Journal Article
Magee, M., & Puder, D. (2022). Matrix group integrals, surfaces, and mapping class groups II: O(n) and Sp(n). Mathematische Annalen, https://doi.org/10.1007/s00208-022-02542-1
Outputs (3)
Core surfaces (2022)
Journal Article
Magee, M., & Puder, D. (2022). Core surfaces. Geometriae Dedicata, 216(4), Article 46. https://doi.org/10.1007/s10711-022-00706-6Let Γg be the fundamental group of a closed connected orientable surface of genus g≥2. We introduce a combinatorial structure of core surfaces, that represent subgroups of Γg. These structures are (usually) 2-dimensional complexes, made up of vertice... Read More about Core surfaces.
A random cover of a compact hyperbolic surface has relative spectral gap 3/16 - ϵ (2022)
Journal Article
Magee, M., Naud, F., & Puder, D. (2022). A random cover of a compact hyperbolic surface has relative spectral gap 3/16 - ϵ. Geometric And Functional Analysis, 32(3), 595-661. https://doi.org/10.1007/s00039-022-00602-xLet X be a compact connected hyperbolic surface, that is, a closed connected orientable smooth surface with a Riemannian metric of constant curvature −1. For each n ∈ N, let Xn be a random degree-n cover of X sampled uniformly from all degree-n Riema... Read More about A random cover of a compact hyperbolic surface has relative spectral gap 3/16 - ϵ.