[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 :
Mathématiques
Auteur, co-auteur :
ZIVKOVIC, Marko ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
Co-auteurs externes :
no
Langue du document :
Anglais
Titre :
'Multi-directed graph complexes and quasi-isomorphisms between them I: oriented graphs
Date de publication/diffusion :
2020
Titre du périodique :
Higher Structures
eISSN :
2209-0606
Maison d'édition :
Macquarie Univ., Dept. Math., North Ryde, New South Wales, Australie
