Topological recursion with hard edges

被引：16

作者：

Chekhov, Leonid ^{[1
,2
,3
]}

Norbury, Paul ^{[1
,2
,3
]}

机构：

[1] Steklov Math Inst & Lab, Moscow, Russia

[2] Michigan State Univ, E Lansing, MI 48824 USA

[3] Univ Melbourne, Sch Math & Stat, Melbourne, Vic, Australia

来源：

INTERNATIONAL JOURNAL OF MATHEMATICS | 2019年 / 30卷 / 03期

基金：

俄罗斯基础研究基金会; 澳大利亚研究理事会;

关键词：

Givental decomposition; topological recursion; spectral curve; KdV tau function; COHOMOLOGICAL FIELD-THEORIES; GROMOV-WITTEN INVARIANTS; INTERSECTION THEORY; MODULI SPACES; CURVES; MODELS;

D O I：

10.1142/S0129167X19500149

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove a Givental type decomposition for partition functions that arise out of topological recursion applied to spectral curves. Copies of the Konstevich-Witten KdV tau function arise out of regular spectral curves and copies of the Brezin-Gross-Witten KdV tau function arise out of irregular spectral curves. We present the example of this decomposition for the matrix model with two hard edges and spectral curve (x(2)- 4)y(2) = 1.

引用

页数：29

共 32 条

[1] BGWM as second constituent of complex matrix model [J].