J. Francis

activity

20082026

most citedFactorization homology of topological manifolds

94 citations · 249 across the 17 of their papers we have counts for

collaborators

Showing 2017Show all

3 papers · 1 filter

math.AT2017★ 2 cited

Factorization homology of enriched $\infty$ -categories

David Ayala, John Francis, Aaron Mazel-Gee +1

For an arbitrary symmetric monoidal $\infty$ -category $V$ , we define the factorization homology of $V$ -enriched $(\infty, 1)$ -categories over (possibly stratifie…

math.AT2017★ 8 cited

The cobordism hypothesis

David Ayala, John Francis

Assuming a conjecture about factorization homology with adjoints, we prove the cobordism hypothesis, after Baez-Dolan, Costello, Hopkins-Lurie, and Lurie.

math.CT2017★ 10 cited

Fibrations of $\infty$ -categories

David Ayala, John Francis

We construct a flagged $\infty$ -category $Corr$ of $\infty$ -categories and bimodules among them. We prove that $Corr$ classifies exponentiable fibrations. This represen…

Factorization homology of enriched ∞-categories

The cobordism hypothesis

Fibrations of ∞-categories

Factorization homology of enriched $\infty$ -categories

Fibrations of $\infty$ -categories