Article (Scientific journals)
'Multi-directed graph complexes and quasi-isomorphisms between them I: oriented graphs
Zivkovic, Marko
2020In Higher Structures, 4 (1), p. 266–283
Peer reviewed
 

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Keywords :
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.
Disciplines :
Mathematics
Author, co-author :
Zivkovic, Marko ;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
External co-authors :
no
Language :
English
Title :
'Multi-directed graph complexes and quasi-isomorphisms between them I: oriented graphs
Publication date :
2020
Journal title :
Higher Structures
ISSN :
2209-0606
Publisher :
Macquarie Univ., Dept. Math., North Ryde, New South Wales, Australia
Volume :
4
Issue :
1
Pages :
266–283
Peer reviewed :
Peer reviewed
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since 14 February 2020

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