GT seminar: A Reconstruction Lemma for Enhanced Bypass Sequences

Abstract: An often used folklore theorem in 3D contact topology asserts that one can classify contact structures on Σ × I using bypasses. In joint work with Licata and Vértesi, we use foliation-theory to assign a combinatorial invariant to such contact structures. We term this invariant an Enhanced Bypass Sequence. In ongoing work, I prove that this invariant admits a Reconstruction Lemma, i.e. one can reconstruct a unique contact structure from its data, and that it implies the folklore theorem about classification using bypasses.

This is a talk in our Geometry and Topology Seminar Series.