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Generalized Graph Complexes: the Splitting into a Complete Graph

EasyChair Preprint no. 10210

6 pagesDate: May 18, 2023


Graph complexes are graded vector spaces of formal linear combinations of isomorphism classes of some kind of graphs, with the differential defined by vertex splitting (or, dually, edge contraction).

In this paper a generalization, where vertex splitting (i.e. insertion of the complete graph on two vertices) is replaced by insertion of a complete graph, is introduced. Basic properties are shown.

Keyphrases: A vertex contraction, An edge contraction, Blow up, complete graphs, generalization, Graph complexes, IHX-relation, L_{\infty} algebra, reconstruction conjecture, Set Reconstruction Conjecture, Strong homotopy Lie algebra, Witt algebra

BibTeX entry
BibTeX does not have the right entry for preprints. This is a hack for producing the correct reference:
  author = {Valerii Sopin},
  title = {Generalized Graph Complexes: the Splitting into a Complete Graph},
  howpublished = {EasyChair Preprint no. 10210},

  year = {EasyChair, 2023}}
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