完成$p=2的$c_2$完成猜想$

IF 1.2 3区数学 Q1 MATHEMATICS

Communications in Number Theory and Physics Pub Date : 2022-06-15 DOI:10.4310/cntp.2023.v17.n2.a4

Simone Hu, K. Yeats

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引用次数: 2

摘要

$c_2$不变量是一个算术图不变量，可用于理解费曼周期。Brown和Schnetz推测$c_2$-不变量具有一种特殊的对称性，称为完成不变性。本文将在$p=2$的情况下证明$c_2$不变量的完备不变性，扩展了我们以前的工作。这些方法是组合的和枚举的，包括计算图的某些边的分区。

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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Completing the $c_2$ completion conjecture for $p=2$

The $c_2$-invariant is an arithmetic graph invariant useful for understanding Feynman periods. Brown and Schnetz conjectured that the $c_2$-invariant has a particular symmetry known as completion invariance. This paper will prove completion invariance of the $c_2$-invariant in the $p=2$ case, extending previous work of one of us. The methods are combinatorial and enumerative involving counting certain partitions of the edges of the graph.

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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.