94 citations · 249 across the 17 of their papers we have counts for
22 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.
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…
Symmetries of a rigid braided category
David Ayala, John Francis
We identify natural symmetries of each rigid higher braided category. Specifically, we construct a functorial action by the continuous group on each $\mathcal{E}_{…
Natural symmetries of secondary Hochschild homology
David Ayala, John Francis, Adam Howard
We identify the group of framed diffeomorphisms of the torus as a semi-direct product of the torus with the braid group on 3 strands; we also identify the topological monoid of fra…
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 $ assoc…