'Multi-directed graph complexes and quasi-isomorphisms between them I: oriented graphs

Reference : 'Multi-directed graph complexes and quasi-isomorphisms between them I: oriented graphs


	Document type :	Scientific journals : Article
	Discipline(s) :	Physical, chemical, mathematical & earth Sciences : Mathematics
	To cite this reference:	http://hdl.handle.net/10993/42501

Title :	'Multi-directed graph complexes and quasi-isomorphisms between them I: oriented graphs
Language :	English
Author, co-author :	Zivkovic, Marko [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Publication date :	2020
Journal title :	Higher Structures
Publisher :	Macquarie Univ., Dept. Math.
Volume :	4
Issue/season :	1
Pages :	266–283
Peer reviewed :	Yes
Audience :	International
e-ISSN :	2209-0606
City :	North Ryde, New South Wales
Country :	Australia
Keywords :	[en] Graph Complexes ; Multi-directed graph complexes ; Multi-oriented props ; Oriented graph complexes
Abstract :	[en] We construct a direct quasi-isomorphism from Kontsevich's graph complex GC_n to the oriented graph complex OGC_{n+1}, thus providing an alternative proof that the two complexes are quasi-isomorphic. Moreover, the result is extended to the sequence of multi-oriented graph complexes, where GC_n and OGC_{n+1} are the first two members. These complexes play a key role in the deformation theory of multi-oriented props recently invented by Sergei Merkulov.
Target :	Researchers ; Professionals ; Students
Permalink :	http://hdl.handle.net/10993/42501
Other URL :	https://journals.mq.edu.au/index.php/higher_structures/article/view/87

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