Feynman graphs and hyperplane arrangements defined over F-1

Higashida, Kyosuke; Yoshinaga, Masahiko

Journal Of Geometry And Physics, 2021, 170, 104368

Permalink : https://hdl.handle.net/2115/91000

このアイテムのアクセス数:358件（2026-01-15 11:08 集計）

ファイル	フォーマット	サイズ	閲覧回数	説明
J. Geom. Phys. 170_104368	pdf	76.3 KB	98

アクセス権	open access
URI	https://hdl.handle.net/2115/91000
タイトル	Feynman graphs and hyperplane arrangements defined over F-1
著者	著者名 Higashida, Kyosuke
著者	著者名 Yoshinaga, Masahiko
言語	英語
キーワード	Hyperplane arrangements
	Graphs
	Torifications
発行日	2021-12
出版者	Elsevier
収録物名	Journal Of Geometry And Physics
巻(号)	170
ページ	104368
抄録	Motivated by some computations of Feynman integrals and certain conjectures on mixed Tate motives, Bejleri and Marcolli posed questions about the F-1-structure (in the sense of torification) on the complement of a hyperplane arrangement, especially for an arrangement defined in the space of cycles of a graph. In this paper, we prove that an arrangement has an F-1-structure if and only if it is Boolean. We also prove that the arrangement in the cycle space of a graph is Boolean if and only if the cycle space has a basis consisting of cycles such that any two of them do not share edges. (C) 2021 Elsevier B.V. All rights reserved.
資源タイプ	学術雑誌論文
出版タイプ	Accepted Manuscript
権利情報	Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
権利情報	©2021. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/
PISSN	0393-0440
関連情報 (isVersionOf)	出版社版DOI https://doi.org/10.1016/j.geomphys.2021.104368