4 papers
The Orlik--Solomon algebra of a locally geometric poset and cohomology of complex abelian arrangements
Christin Bibby, Peter Ramsey
We construct an Orlik--Solomon algebra for any locally geometric poset as a natural generalization of the one for geometric lattices. This algebra has several interesting features,…
On some structural properties of graphs with non-negative resistance curvature
Gyaneshwar Agrahari, Christin Bibby, Sean Boros +3
A graph is called resistance nonnegative (RN), respectively resistance positive (RP), if it admits positive edge weights such that all vertex resistance curvatures are nonnegative,…
Monodromy of supersolvable toric arrangements
Christin Bibby, Daniel C. Cohen, Emanuele Delucchi
We study topological aspects of supersolvable abelian arrangements, toric arrangements in particular. The complement of such an arrangement sits atop a tower of fiber bundles, and…
Minimal flag triangulations of lower-dimensional manifolds
Christin Bibby, Andrew Odesky, Mengmeng Wang +3
We prove the following results on flag triangulations of 2- and 3-manifolds. In dimension 2, we prove that the vertex-minimal flag triangulations of and $\mathbb{S…