Reference : 'Multi-directed graph complexes and quasi-isomorphisms between them I: oriented graphs
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/42501
'Multi-directed graph complexes and quasi-isomorphisms between them I: oriented graphs
English
Zivkovic, Marko mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
2020
Higher Structures
Macquarie Univ., Dept. Math.
4
1
266–283
Yes
International
2209-0606
North Ryde, New South Wales
Australia
[en] Graph Complexes ; Multi-directed graph complexes ; Multi-oriented props ; Oriented graph complexes
[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.
Researchers ; Professionals ; Students
http://hdl.handle.net/10993/42501
https://journals.mq.edu.au/index.php/higher_structures/article/view/87

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