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Double hurwitz numbers via the infinite wedge

WebMar 20, 2013 · As an application, we express (nonstandard) generating functions for the double Hurwitz number as intergrals over commutative Frobnius algebras associated with symmetric groups. Bibliography: 11 titles. ... P. Johnson, “Double Hurwitz numbers via the infinite wedge,” arXiv:1008.3266. I. Goulden, D. M. Jackson, and R. Vakil, ... WebMar 9, 2010 · Double Hurwitz numbers count covers of the projective line by genus g curves with assigned ramification profiles over 0 and infinity, and simple ramification over a fixed branch divisor. Goulden, Jackson and Vakil have shown double Hurwitz numbers are piecewise polynomial in the orders of ramification, and Shadrin, Shapiro and Vainshtein …

[PDF] Explicit formulae for one-part double Hurwitz numbers …

WebSCHRODINGER EQUATION OF HURWITZ NUMBERS 5 2. Infinite-wedge space In this section we sketch the theory of the semi-in nite wedge space. We will use it to express … WebThe proof is an application of Okounkov's expression for double Hurwitz numbers in terms of operators on the infinite wedge. We begin with a intro duction to the infinite wedge tailored to our use. Contents 1. Introduction 6415 2. The infinite wedge 6421 3. The main formula 6430 4. Consequences 6433 Acknowledgements 6439 References 6439 1 ... drainage herefordshire https://rixtravel.com

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WebOct 16, 2024 · Double Hurwitz numbers via the infinite wedge. Article. Aug 2010; Paul Johnson; We derive an algorithm to produce explicit formulas for certain generating functions of double Hurwitz numbers ... Webfor double Hurwitz numbers in terms of operators on the infinite wedge. We begin with a introduction to the infinite wedge tailored to our use. Contents 1. Introduction 1 2. The … emmet county auditor iowa

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Category:Chamber Structure For Double Hurwitz Numbers - ResearchGate

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Double hurwitz numbers via the infinite wedge

[1103.3120] On double Hurwitz numbers with completed cycles

WebOct 2, 2024 · Double Hurwitz numbers count covers of P1 by genus g curves with assigned ramification profiles over 0 and ∞, and simple ramification over a fixed branch … WebSep 2, 2024 · We give in Appendix A a new proof of the (0, 2) case, relying only on the semi-infinite wedge expression for double Hurwitz numbers. We take Theorem 1.5 …

Double hurwitz numbers via the infinite wedge

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WebApr 13, 2024 · We derive an explicit formula for connected (n, m)-point functions associated with an arbitrary diagonal tau-function of the 2-BKP hierarchy using the computation of neutral fermions and boson–ferm... WebJul 30, 2024 · [9] P. Johnson, Double Hurwitz numb ers via the infinite wedge, T rans. Amer. Math. Soc. 367 (2015), 6415-6440. [10] A. Jucys, Symmetric polynomials and the center of the symmetric gr oup ring ...

WebJul 8, 2013 · This article introduces mixed double Hurwitz numbers, which interpolate com- binatorially between the classical double Hurwitz numbers studied by Okounkov and the monotone double Hurwitz numbers introduced recently by Goulden, Guay-Paquet and No- vak. Generalizing a result of Okounkov, we prove that a certain generating series for the … WebWe derive an algorithm to produce explicit formulas for certain generating functions of double Hurwitz numbers. These formulas generalize a formula in [GJV05] for one part …

WebMar 16, 2011 · On double Hurwitz numbers with completed cycles. S. Shadrin, L. Spitz, D. Zvonkine. In this paper, we collect a number of facts about double Hurwitz numbers, … WebIn mathematics, Hurwitz's theorem is a theorem of Adolf Hurwitz (1859–1919), published posthumously in 1923, solving the Hurwitz problem for finite-dimensional unital real non …

WebFeb 11, 2024 · Double Hurwitz numbers via the infinite wedge. ... The proof is an application of Okounkov's expression for double Hurwitz numbers in terms of operators on the infinite wedge. We begin with a ...

WebPaul Johnson, Double Hurwitz numbers via the infinite wedge, Trans. Amer. Math. Soc. 367 (2015), no. 9, 6415–6440. MR 3356942 , DOI 10.1090/S0002-9947-2015-06238-2 Serguei Kerov and Grigori Olshanski , Polynomial functions on the set of Young diagrams , C. R. Acad. Sci. Paris Sér. drainage highway construction detailsWebWe derive an algorithm to produce explicit formulas for certain generating functions of double Hurwitz numbers that generalize a formula of [GJV05] for one part double … drainage hindiWebThe chamber structure and wall-crossing formulae in genus zero for double Hurwitz numbers have been studied with algebro-geometric methods by Shadrin, Shapiro, and … drainage improvement stillwater ok churchWebDOUBLE HURWITZ NUMBERS VIA THE INFINITE WEDGE PAULJOHNSON Abstract. We derive an algorithm to produce explicit formulas for certain generating functions of … drainage hirnwasserWebDouble Hurwitz numbers via the infinite wedge Johnson, Paul We derive an algorithm to produce explicit formulas for certain generating functions of double Hurwitz numbers. … drainage homeopathicWebMar 9, 2010 · Double Hurwitz numbers via the infinite wedge. Article. Aug 2010; Paul Johnson; We derive an algorithm to produce explicit formulas for certain generating functions of double Hurwitz numbers ... emmet county birth recordsWebWe derive the spectral curves for q-part double Hurwitz numbers, r-spin simple Hurwitz numbers, and arbitrary combinations of these cases, from the analysis of the unstable (0, 1)-geometry. We quantize this family of spectral curves and obtain the Schrodinger equations for the partition function of the corresponding Hurwitz problems. We thus … drainage hole pot what for