V. A. Vassiliev
Published 2014-09-21Version 1
Graphs with given k vertices generate an (acyclic) simplicial complex. We describe the homology of its quotient complex, formed by all connected graphs, and demonstrate its applications to the topology of braid groups, knot theory, combinatorics, and singularity theory. The multidimensional analogues of this complex are indicated, which arise naturally in the homotopy theory, higher Chern-Simons theory and complexity theory.
On the homotopy theory of arrangements, II
Complexes of not $i$-connected graphs
Highlights from "The Ramanujan Property for Simplicial Complexes" [arXiv:1605.02664]
![QR code for arXiv:1409.5999 [math.CO]](http://oss.arxitics.com/images/favicon.svg)