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Hurwitz number and intersection on modular

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 https://redwagonbaby.com

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

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Category:Towards the geometry of double Hurwitz numbers - ScienceDirect

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Hurwitz number and intersection on modular

On Hurwitz numbers and Hodge integrals - ScienceDirect

WebHirzebruch, F., Zagier, D. Intersection numbers of curves on Hilbert modular surfaces and modular forms of Nebentypus. Invent Math 36, 57–113 (1976). … Web1 aug. 2024 · Single Hurwitz numbers (or more usually, Hurwitz numbers) have a rich structure, explored by many authors in fields as diverse as algebraic geometry, symplectic geometry, combinatorics,...

Hurwitz number and intersection on modular

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WebAbstract: We study relations between intersection numbers on moduli spaces of curves and Hurwitz numbers. First, we prove two formulas expressing Hurwitz numbers of … Web8 aug. 2006 · Abstract Due to the orbifold singularities, the intersection numbers on the moduli space of curves $\bar {\sM}_ {g,n}$ are in general rational numbers rather than integers. We study the...

Web1 nov. 2001 · We find an explicit formula for the number of topologically different ... Hurwitz numbers and intersections on moduli spaces of curves. November 2001; Inventiones … WebHurwitz numbers and intersections on moduli spaces of curves Torsten Ekedahl, Sergei Lando, Michael Shapiro & Alek Vainshtein Inventiones mathematicae 146 , 297–327 ( …

Web1 apr. 2011 · When the spectral curve is y=\sqrt{x}, the formula gives Kontsevich--Witten intersection numbers, when the spectral curve is chosen to be the Lambert function …

Web25 aug. 2011 · As genus 0 double Hurwitz numbers with at most 3 parts over ∞ are well understood, we obtain Faber’s Intersection Number Conjecture for up to 3 parts, and an approach to the Conjecture in general (bypassing the Virasoro Conjecture).

WebThis volume contains the written account of the Bonn Seminar on Arithmetic Geometry 2003/2004. It gives a coherent exposition of the theory of intersections of modular correspondences. The focus of the seminar is the formula for the intersection number of arithmetic modular correspondences due to Gross and Keating. Other topics treated are … masch assicurazioniWeb9 apr. 2024 · Request PDF Mirror curve of orbifold Hurwitz numbers Edge-contraction operations form an effective tool in various graph enumeration problems, such as counting Grothendieck's dessins d'enfants ... mascha ringeWeb11:00-11:50 am in 241 Altgeld. Atul Dixit (IIT Gandhinagar) Superimposing theta structure on a generalized modular relation. Thursday, Jan. 23. Lucia Mocz (Chicago) Heights and p-adic Hodge Theory. Thursday, Jan. 30. Patrick Allen (Illinois) Modularity of some PGL (2,5) representations. data validation codingWeb25 aug. 2011 · As genus 0 double Hurwitz numbers with at most 3 parts over ∞ are well understood, we obtain Faber’s Intersection Number Conjecture for up to 3 parts, and an … mascha spieleWebHurwitz numbers were introduced by A. Hurwitz in the end of the nineteenth century. They enumerate ramified coverings of two-dimensional surfaces. They also have many other manifestations: as connection coefficients in symmetric groups, as numbers enumerating certain classes of graphs, as Gromov–Witten invariants of complex curves. Hurwitz … data validation checklist excelWebINTERSECTION OF MODULAR POLYNOMIALS 1547 Recall from Proposition 2.2(4) that the divisor Tm is linearly equivalent to 0, (m) H1 + a1 (n) H2, so the intersection … data validation color codingWebHurwitz numbers, moduli of curves, topological recursion, Givental's theory and their relations Spitz, L. Publication date 2014 Link to publication Citation for published version (APA): Spitz, L. (2014). Hurwitz numbers, moduli of curves, topological recursion, Givental's theory and their relations. General rights data validation code