Feynman graphs and hyperplane arrangements defined over <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:msub><mml:mrow><mml:mi mathvariant="double-struck">F</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msub></mml:math>
نویسندگان
چکیده
Motivated by some computations of Feynman integrals and certain conjectures on mixed Tate motives, Bejleri Marcolli posed questions about the $\mathbb{F}_1$-structure (in sense torification) complement a hyperplane arrangement, especially for an arrangement defined in space cycles graph. In this paper, we prove that has if only it is Boolean. We also cycle graph Boolean basis consisting such any two them do not share edges.
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ژورنال
عنوان ژورنال: Journal of Geometry and Physics
سال: 2021
ISSN: ['1879-1662', '0393-0440']
DOI: https://doi.org/10.1016/j.geomphys.2021.104368