Benoît Guerville-Ballé
Title: Loop linking invariant
Abstract:
We will present the loop linking invariant introduced by Cadegan-Schlieper in his PhD. It is a topological
invariant for line arrangements generalizing the linking invariant developed by Artal, Florens and Guerville-Ballé.
Then, we will explain how to compute it using a braided wiring diagram of the arrangement (or equivalently its
braid monodromy). To conclude, we will use it to distinguish a new example of a couple of arrangements
formed by 11 lines which have isomorphic intersection lattices yet different embeddings in the complex
projective plane.