【摘要】
In this talk I will address the general question of whether two given 3-manifolds embed in each other. I will explain what can and cannot be achieved by classical techniques such as homology and hyperbolic volume. Then I will present a result that formalizes the intuition that these sort of embeddings should be rare in some sense: if N embeds in M, there is a "small perturbation" (in some sense) that does not. The central technique used to obstruct these generic embeddings is the Frohman--Kania-Bartoszynska ideal and the Reshetikhin-Turaev TQFT (joint work with Renaud Detcherry).
