Differentials on Graph Complexes III - Deleting a Vertex
Quantum Algebra
2017-05-10 v3 Combinatorics
Abstract
We prove that the hairy graph complex with the extra differential is almost acyclic. This justifies the construction of hairy graph cohomology classes by the waterfall mechanism. The main idea used in the paper is a new differential, deleting a vertex. We hope that the new differential can have further applications in the study of graph cohomology.
Keywords
Cite
@article{arxiv.1602.08316,
title = {Differentials on Graph Complexes III - Deleting a Vertex},
author = {Marko Živković},
journal= {arXiv preprint arXiv:1602.08316},
year = {2017}
}