25 citations · 148 across the 25 of their papers we have counts for
25 papers
On the geometric algebras of the Ising model
N. Johnson, D. Marenduzzo, A. Morozov +2
We revisit the classical transfer matrix solution of the one- and two-dimensional Ising model from the perspective of Clifford and conformal geometric algebras. Building on Kaufman…
Invertibility and parity in symmetric monoidal categories
Nick Gurski, Niles Johnson
We introduce a notion of parity for formal morphisms between invertible objects and use it to prove a corresponding coherence theorem. Parity is conceptually similar to the sign of…
Universal pseudomorphisms, with applications to diagrammatic coherence for braided and symmetric monoidal functors
Nick Gurski, Niles Johnson
This work introduces a general theory of universal pseudomorphisms and develops their connection to diagrammatic coherence. The main results give hypotheses under which pseudomorph…
Homotopy Theory of Enriched Mackey Functors
Niles Johnson, Donald Yau
Mackey functors provide the coefficient systems for equivariant cohomology theories. More generally, enriched presheaf categories provide a classification and organization for many…
The symmetric monoidal 2-category of permutative categories
Nick Gurski, Niles Johnson, Angélica M. Osorno
We define a tensor product for permutative categories and prove a number of key properties. We show that this product makes the 2-category of permutative categories closed symmetri…
Multifunctorial -Theory is an Equivalence of Homotopy Theories
Niles Johnson, Donald Yau
We show that each of the three -theory multifunctors from small permutative categories to -categories, -simplicial sets, and connective spectra, is…