4 papers
Chern-Simons factorization algebras and knot polynomials
Kevin Costello, John Francis, Owen Gwilliam
This work identifies the Reshetikhin-Turaev invariant of links in terms of a trace map on factorization homology. In particular, to recover the knot invariants associated to Chern-…
A parametrized Pontryagin--Thom theorem
David Ayala, John Francis
We prove a space-level enhancement of the Pontryagin--Thom theorem, identifying the space of maps from a manifold to a Thom space with a moduli space of submanifolds.
Traces for factorization homology in dimension 1
David Ayala, John Francis
We construct a circle-invariant trace from the factorization homology of the circle $ {\sf trace} \colon \int^α_{{\mathbb S}^1} \\underline{\sf End}(V) \longrightarrow \uno $ asso…
The Tangle Hypothesis: Dimension 1
David Ayala, John Francis
We introduce an -category , the morphisms in which are framed tangles in . We prove that ${\sf Bor…