HOMOLOGY OF i-CONNECTED GRAPHS AND INVARIANTS OF KNOTS, PLANE ARRANGEMENTS, ETC

@inproceedings{Vassiliev2014HOMOLOGYOI,
  title={HOMOLOGY OF i-CONNECTED GRAPHS AND INVARIANTS OF KNOTS, PLANE ARRANGEMENTS, ETC},
  author={V. A. Vassiliev},
  year={2014}
}
We describe several objects and problems of homological combinatorics, arising naturally in the theory of discriminants and plane arrangements, in particular the homology groups of complexes of connected and two-connected graphs and hypergraphs. Knot-theoretical motivations and applications are indicated, as well as first results of related calculations of homology groups of spaces of knots and generic plane curves. Unsolved problems are discussed.