WebHurwitz numbers (Corollary5.2). First, psi classes on spaces of relative stable maps equal the pullback of psi classes on the moduli spaces of curves plus some chamber … Web5 jun. 2024 · In this paper, we prove Hurwitz-Eichler type formulas for Hurwitz class numbers with each level $ M $ when the modular curve $ X_0(M) $ has genus zero. A …
On Class NumberRelations and Intersections over Function Fields
Web5 jun. 2009 · We give a bijective proof of Hurwitz formula for the number of simple branched coverings of the sphere by itself. Our approach extends to double Hurwitz numbers and yields new properties for them. In… Expand 10 PDF View 1 excerpt, cites methods Save Alert Topological recursion and a quantum curve for monotone Hurwitz … WebIn mathematics, the ELSV formula, named after its four authors Torsten Ekedahl , Sergei Lando , Michael Shapiro, Alek Vainshtein, is an equality between a Hurwitz number … data validation cms
A GEOMETRIC PERSPECTIVE ON THE PIECEWISE POLYNOMIALITY …
WebFeb 2: The number of non-negative curvature triangulations of the sphere Phil Engel, Harvard University Feb 8: Flat surfaces and stability structures on categories Fabian Haiden, Harvard University Feb 15: Constructing pseudo-Anosov mapping classes with small stretch factor Eriko Hironaka, AMS Feb 22: Strata of abelian differentials and the effective cone … Web23 sep. 2024 · In general, the Hurwitz numbers count the branched covers of the Riemann sphere with prescribed ramification data or, equivalently, the factorizations of a permutation with prescribed cycle structure data. In the present paper, the study of monotone orbifold Hurwitz numbers is initiated. These numbers are both variations of the orbifold case … Web15 jun. 1999 · We study the factorizations of the permutation (1, 2, …, n) into k factors of given cycle types. Using representation theory, Jackson obtained for each k an elegant formula for counting these factorizations according to the number of cycles of each factor. In the cases k = 2, 3 Schaeffer and Vassilieva gave a combinatorial proof of Jacksonʼs … data validation color cells