On the Falk Invariant of Signed Graphic Arrangements


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Please use this identifier to cite or link to this item:http://hdl.handle.net/2115/73918

Title:	On the Falk Invariant of Signed Graphic Arrangements
Authors:	Guo, Weili Browse this author
Authors:	Torielli, Michele Browse this author
Keywords:	Hyperplane arrangements
	Sign graph
	Falk invariant
	Lower central series
Issue Date:	May-2018
Publisher:	Springer
Journal Title:	Graphs and combinatorics
Volume:	34
Issue:	3
Start Page:	477
End Page:	488
Publisher DOI:	10.1007/s00373-018-1887-7
Abstract:	The fundamental group of the complement of a hyperplane arrangement in a complex vector space is an important topological invariant. The third rank of successive quotients in the lower central series of the fundamental group was called Falk invariant of the arrangement since Falk gave the first formula and asked to give a combinatorial interpretation. In this article, we give a combinatorial formula for the Falk invariant of a signed graphic arrangement that do not have a as sub-arrangement.
Type:	article (author version)
URI:	http://hdl.handle.net/2115/73918
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: TORIELLI Michele

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