搜索结果: 1-9 共查到“数学 HURWITZ NUMBERS”相关记录9条 . 查询时间(0.084 秒)
THE MODULI SPACE OF CURVES, DOUBLE HURWITZ NUMBERS, AND FABER’S INTERSECTION NUMBER CONJECTURE
DOUBLE HURWITZ NUMBERS FABER’S INTERSECTION NUMBER CONJECTURE
2015/7/14
We define the dimension 2g − 1 Faber-Hurwitz Chow/homology classes on the moduli
space of curves, parametrizing curves expressible as branched covers of P
1 with given ramification...
GENUS 0 AND 1 HURWITZ NUMBERS: RECURSIONS, FORMULAS, AND GRAPH-THEORETIC INTERPRETATIONS
RECURSIONS FORMULAS GRAPH-THEORETIC
2015/7/14
We derive a closed-form expression for all genus 1 Hurwitz numbers, and give a
simple new graph-theoretic interpretation of Hurwitz numbers in genus 0 and 1. (Hurwitz
numbers essentially count irred...
THE GROMOV-WITTEN POTENTIAL OF A POINT, HURWITZ NUMBERS, AND HODGE INTEGRALS
Hurwitz numbers Gromov-Witten potential moduli space
2015/7/14
It is the Deligne-Mumford compacti cation of the moduli space Mg;n of smooth
n-pointed genus g curves. It has n natural line bundles Li (roughly, the cotangent
space to the ith marked point) and a n...
HODGE INTEGRALS AND HURWITZ NUMBERS VIA VIRTUAL LOCALIZATION
HODGE INTEGRALS HURWITZ NUMBERS
2015/7/14
We give another proof of Ekedahl, Lando, Shapiro, and Vainshtein's remarkable formula expressing Hurwitz numbers (counting covers of
P1 with speci ed simple branch points, and speci ed branching over...
Double Hurwitz numbers count branched covers of CP1 with fixed branch points,
with simple branching required over all but two points 0 and ∞, and the branching
over 0 and ∞ specified by ...
Double Hurwitz numbers count branched covers of CP1 with fixed branch points,
with simple branching required over all but two points 0 and ∞, and the branching
over 0 and ∞ specified by ...
Monotone Hurwitz numbers and the HCIZ integral I
Hurwitz numbers matrix models enumerative geometry Algebraic Geometry
2011/8/25
Abstract: In this article, we study the notion of genus expansion in the Harish-Chandra-Itzykson-Zuber matrix model. We prove that, under suitable hypotheses, each Taylor coefficient of the HCIZ free ...
Monotone Hurwitz numbers and the HCIZ integral II
Hurwitz numbers matrix models enumerative geometry Combinatorics
2011/8/25
Abstract: Motivated by results for the HCIZ integral in Part I of this paper, we study the structure of monotone Hurwitz numbers, which are a desymmetrized version of classical Hurwitz numbers. We pro...
Generalized string equations for double Hurwitz numbers
Hurwitz numbers Toda hierarchy generalized string equation
2011/2/28
The generating function of double Hurwitz numbers is known to become a tau function of the Toda hierarchy. The associated Lax and Orlov-Schulman operators turn out to satisfy a set of generalized stri...