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arXiv · 1602.08316

Differentials on Graph Complexes III - Deleting a Vertex

Marko Živković
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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.

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Marko Živković. 2016-02-26. Differentials on Graph Complexes III - Deleting a Vertex. https://arxiv.org/abs/1602.08316

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