Hurwitz number and intersection on modular

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August undefined, 2024

WebHurwitz numbers and intersections on moduli spaces of curves TorstenEkedahl1,SergeiLando2,,MichaelShapiro3,AlekVainshtein4 1 Department of … Web29 aug. 2013 · In this letter, we present our conjecture on the connection between the Kontsevich–Witten and the Hurwitz tau-functions. The conjectural formula connects these two tau-functions by means of the GL(∞) group element. An important feature of this group element is its simplicity: this is a group element of the Virasoro subalgebra of gl(∞). If …

Mirror curve of orbifold Hurwitz numbers Request PDF

Web26 jun. 2012 · Corpus ID: 118781432; Intersection numbers on Deligne-Mumford moduli spaces and quantum Airy curve @article{Zhou2012IntersectionNO, title={Intersection numbers on Deligne-Mumford moduli spaces and quantum Airy curve}, author={Jian Zhou}, journal={arXiv: Algebraic Geometry}, year={2012} } Web11:00-11:50 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. limbo golf balls

Hurwitz numbers and intersections on moduli spaces of curves

Webdivisors on the Drinfeld-Stuhler modular surfaces. The main bridge is a particular “harmonic” theta series with nebentypus. Using the strong approximation theorem, the Fourier coeﬃcients of this series are expressed in two ways; one comes from modiﬁed Hurwitz class numbers and another gives the intersection numbers in question. 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... 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 … limbo himation of aiming

Mirror curve of orbifold Hurwitz numbers Request PDF

Intersection numbers of curves on Hilbert modular surfaces and modular ...

WebINTERSECTION 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 … Web22 okt. 2024 · Hurwitz class numbers with level and modular correspondences Yuya Murakami In this paper, we prove Hurwitz-Eichler type formulas for Hurwitz class … hotels near hewitt njWeb25 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 … limbo himation of healing

"WebHURWITZ NUMBERS AND INTERSECTIONS ON MODULI SPACES OF CURVES TorstenEkedahl∗,SergeiLando†,1, MichaelShapiro‡,andAlekVainshtein♮ ∗ Dept. of Math., University of Stockholm, S-10691, Stockholm, [email protected] † Higher College of Math., Independent University of Moscow, and Institute for System Research RAS, … " - Hurwitz number and intersection on modular

Hurwitz number and intersection on modular

Intersection of modular polynomials - ResearchGate

Websphere and the intersection theory on moduli spaces allows us to prove that some natural generating functions enumerating the ramiﬁed cov-erings lie, yet again, in A. As an application, one can ﬁnd the asymp-totic of the number of such coverings as the number of sheets tends to ∞. We believe that the leading terms of the asymptotics like that Web12 aug. 2024 · Hurwitz numbers (in many variants) appeared at the cross-road of many active directions in contemporary mathematics and mathematical physics, such as the combinatorics of symmetric groups and graphs on surfaces, the intersection theory in algebraic geometry, tau functions in integrable systems and tropical geometry (see, for …

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WebCLASSICAL HURWITZ NUMBERS AND RELATED COMBINATORICS BORIS DUBROVIN, DI YANG, AND DON ZAGIER To the memory of the extraordinary mathematician and man Vladimir Igorevich Arnold, with admiration Abstract. We give a polynomial-time algorithm … Web14 apr. 2000 · We express Hurwitz numbers of polynomials of arbitrary topological type in terms of intersection numbers on the moduli space of curves of genus zero with marked points. 2 Polynomial relations among kappa classes on the moduli space of curves M. Kazarian, P. Norbury Mathematics 2024

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 … WebIntersection numbers of curves on Hilbert modular surfaces and modular forms of Nebentypus F. Hirzebruch & D. Zagier Inventiones Mathematicae 36 , 57–113 ( 1976) Cite this article 622 Accesses 148 Citations 3 Altmetric Metrics Download to read the full article text References Hilbert Modular Surfaces

WebHurwitz numbers and intersections on moduli spaces of curves Torsten Ekedahl, Sergei Lando, Michael Shapiro & Alek Vainshtein Inventiones mathematicae 146 , 297–327 ( … WebAbstract: We study relations between intersection numbers on moduli spaces of curves and Hurwitz numbers. First, we prove two formulas expressing Hurwitz numbers of …

Web14 apr. 2000 · We express Hurwitz numbers of polynomials of arbitrary topological type in terms of intersection numbers on the moduli space of curves of genus zero with …

WebAppendix A. Intersection theory on iterated blowups 31 References 41 1. Introduction 1.1. Motivation from algebraic geometry: Cycle classes of Hurwitz spaces. A clas-sical way of producing subvarieties of the moduli space of curves is using Hurwitz spaces. The moduli space Hur of Hurwitz covers of P1 parametrizes nite degree morphisms f: X!P1 hotels near heyward washington houseWeb5 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 … hotels near heyburn state parkWeb21 okt. 2024 · Download Citation Hurwitz class numbers with level and modular correspondences In this paper, we prove Hurwitz-Eichler type formulas for Hurwitz … hotels near hewitt wellington njWeb9 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 ... limbo graphicWeb15 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 … hotels near hg3 2seWebAlthough the formula for the intersection number is forbidding, it is the one which arises most naturally and it leads directly to the famous class-number relations of Kronecker … hotels near heysham ukWeb23 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 … limbo himation of striking