Harer–Zagier formula via Fock space

IF 1.2 3区数学 Q1 MATHEMATICS

Communications in Number Theory and Physics Pub Date : 2018-07-30 DOI:10.4310/cntp.2019.v13.n3.a4

D. Lewanski

引用次数: 3

Abstract

The goal of this note is to provide a very short proof of Harer-Zagier formula for the number of ways of obtaining a genus g Riemann surface by identifying in pairs the sides of a (2d)-gon, using semi-infinite wedge formalism operators.

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通过Fock空间的Harer–Zagier公式

这篇文章的目的是用半无限楔形形式算子，对Harer-Zagier公式提供一个非常简短的证明，证明通过成对地识别(2d)形的边来获得g -黎曼曲面的方法的数量。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Communications in Number Theory and Physics MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.70

自引率

5.30%

发文量

审稿时长

>12 weeks

期刊介绍： Focused on the applications of number theory in the broadest sense to theoretical physics. Offers a forum for communication among researchers in number theory and theoretical physics by publishing primarily research, review, and expository articles regarding the relationship and dynamics between the two fields.