T. Johnson-Freyd

activity

20102026

most citedOn the classification of topological orders

177 citations · 633 across the 31 of their papers we have counts for

collaborators

Showing 2020Show all

4 papers · 1 filter

math.QA2020★ 15 cited

(3+1)D topological orders with only a $Z_{2}$ -charged particle

Theo Johnson-Freyd

There is exactly one bosonic (3+1)-dimensional topological order whose only nontrivial particle is an emergent boson: pure $Z_{2}$ gauge theory. There are exactly two (3+1)-…

math.QA2020★ 24 cited

Fusion 2-categories with no line operators are grouplike

Theo Johnson-Freyd, Matthew Yu

We show that if $C$ is a fusion $2$ -category in which the endomorphism category of the unit object is $Vec$ or $SVec$ , then the indecomposable objects of $\math…

math.AT2020

Topological Mathieu Moonshine

Theo Johnson-Freyd

We explore the Atiyah-Hirzebruch spectral sequence for the $t m f^{∙} [\frac{1}{2}]$ -cohomology of the classifying space $B M_{24}$ of the largest Mathieu group $M_{24}$ , twisted by a…

math.CT2020★ 177 cited

On the classification of topological orders

Theo Johnson-Freyd

We axiomatize the extended operators in topological orders (possibly gravitationally anomalous, possibly with degenerate ground states) in terms of monoidal Karoubi-complete $n$ -ca…

(3+1)D topological orders with only a Z2​-charged particle

Fusion 2-categories with no line operators are grouplike

Topological Mathieu Moonshine

On the classification of topological orders

(3+1)D topological orders with only a $Z_{2}$ -charged particle