Isomonodromic tau function on the space of admissible covers

被引：22
|
作者：
Kokotov, A. [1 ]
Korotkin, D. [1 ]
Zograf, P. [2 ]
机构：
[1] Concordia Univ, Dept Math & Stat, Montreal, PQ H3G 1M8, Canada
[2] VA Steklov Math Inst, St Petersburg 191023, Russia
来源：
ADVANCES IN MATHEMATICS | 2011年 / 227卷 / 01期
基金：
加拿大自然科学与工程研究理事会;
关键词：
Hurwitz space; Tau function; Hodge class; Admissible covers; MODULI SPACE;
D O I：
10.1016/j.aim.2011.02.005
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The isomonodromic tau function of the Fuchsian differential equations associated to Frobenius structures on Hurwitz spaces can be viewed as a section of a line bundle on the space of admissible covers. We study the asymptotic behavior of the tau function near the boundary of this space and compute its divisor. This yields an explicit formula for the pullback of the Hodge class to the space of admissible covers in terms of the classes of compactification divisors. (C) 2011 Elsevier Inc. All rights reserved.
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页码：586 / 600
页数：15
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