6 citations · 6 across the 2 of their papers we have counts for
4 papers
Graph colourings, spaces of edges and spaces of circuits
Carsten Schultz
By Lovasz' proof of the Kneser conjecture, the chromatic number of a graph G is bounded from below by the index of the Z_2-space Hom(K_2,G) plus two. We show that the cohomological…
Small models of graph colouring manifolds and the Stiefel manifolds Hom(C_5, K_n)
Carsten Schultz
We show Péter Csorba's conjecture that the graph homomorphism complex Hom(C_5,K_{n+2}) is homeomorphic to a Stiefel manifold, the space of unit tangent vectors to the n-dimensional…
A short proof of w_1^n(Hom(C_{2r+1}, K_{n+2}))=0 for all n and a graph colouring theorem by Babson and Kozlov
Carsten Schultz
We show that the n-th power of the first Stiefel-Whitney class of the Z_2-operation on the graph complex Hom(C_{2r+1},K_{n+2})$ is zero, confirming a conjecture by Babson and Kozlo…
The cohomology ring of the complement of a finite family of linear subspaces in a complex projective space
Carsten Schultz
The integral cohomology ring of the complement of an arrangement of linear subspaces of a finite dimensional complex projective space is determined by combinatorial data, i.e. the…