Anna Cepek

We approach manifold topology by examining configurations of finite subsets of manifolds. The homotopy types of such configurations organize as an ∞-category, the construction of which makes use of stratified spaces and exit-path ∞-categories thereof...

We approach the embedding space of knots by examining configurations of finite subsets of S^1 and R^3. In the case of configurations of two point subsets, one can obtain the classic invariant called the linking number. Such a procedure can be...