Quantum curves and topological recursion

被引：25

作者：

Norbury, Paul ^{[1
]}

机构：

[1] Univ Melbourne, Dept Math & Stat, Melbourne, Vic 3010, Australia

来源：

STRING-MATH 2014 | 2016年 / 93卷

关键词：

Spectral curve; quantum curve; WKB method; KNOT INVARIANTS; SPECTRAL CURVE; MODULI SPACES; MODELS; VOLUME;

D O I：

10.1090/pspum/093/01694

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This is a survey article describing the relationship between quantum curves and topological recursion. A quantum curve is a Schrodinger operator-like noncommutative analogue of a plane curve which encodes (quantum) enumerative invariants in a new and interesting way. The Schrodinger operator annihilates a wave function which can be constructed using the WKB method, and conjecturally constructed in a rather different way via topological recursion.

引用

页码：41 / 65

页数：25

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