The Tangle Hypothesis: Dimension 1

David Ayala, John Francis

We introduce an $(\infty ,1)$-category ${\mathsf{Bord}}_1^{\mathsf{fr}}({\mathbb{R}}^n)$, the morphisms in which are framed tangles in ${\mathbb{R}}^n\times {\mathbb{D}}^1$. We prove that ${\sf Bor…