Feynman graphs and hyperplane arrangements defined over F-1


Hokkaido University \| Library \| HUSCAP	Advanced Search		言語

	Home
	About HUSCAP
	Open Access Policy

	Browse by Author

Browse
	Communities & Collections

	Scholarly Journals
	Theses
	Doctoral Dissertations Listed by Graduate Schools
	Conference Procs.
	Events

	HUSCAP Senior (in Japanese)

	Societies

	Downloads (country)

For university staff
	How to post your papers to HUSCAP
	Publication of theses
	Helpline about theses publication

Open Archives Compliant

You can search our collection also at:
	Google
	Google Scholar
	CiNii
	IRDB
	OAIster
	NDLTD

Files in This Item:

J. Geom. Phys. 170_104368.pdf

76.38 kB

PDF

Please use this identifier to cite or link to this item:http://hdl.handle.net/2115/91000

Title:	Feynman graphs and hyperplane arrangements defined over F-1
Authors:	Higashida, Kyosuke Browse this author
Authors:	Yoshinaga, Masahiko Browse this author
Keywords:	Hyperplane arrangements
	Graphs
	Torifications
Issue Date:	Dec-2021
Publisher:	Elsevier
Journal Title:	Journal Of Geometry And Physics
Volume:	170
Start Page:	104368
Publisher DOI:	10.1016/j.geomphys.2021.104368
Abstract:	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.
Rights:	©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/
Rights:	http://creativecommons.org/licenses/by-nc-nd/4.0/
Type:	article (author version)
URI:	http://hdl.handle.net/2115/91000
Appears in Collections:	理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)

Submitter: 吉永正彦

OAI-PMH ( junii2 , jpcoar_1.0 )

- Hokkaido University