4 papers
Integral Transforms for Finite Gauge Theory
Jackson Van Dyke
This paper shows that quantization of -finite spaces, as a functor out of a higher category of spans, is equivariant in two ways: Symmetries of a given polarization/Lagrangian…
Robust series linearization of nonlinear advection-diffusion equations
T. Forrest Kieffer, Jakob Cupp, John S. Van Dyke +2
We consider nonlinear partial differential equations (PDEs) for advection-diffusion processes which are augmented by an auxiliary parameter such that corresponds to lin…
Higher tensor categories and their extensions: notes from the Scottish Talbot On Algebra and Topology
Diogo Andrade, Julia Bierent, Jennifer Brown +28
These lecture notes are the product of a week-long learning workshop on the work of Johnson-Freyd and Reutter on the problem of the existence of minimal nondegenerate extensions of…
Projective symmetries of three-dimensional TQFTs
Jackson Van Dyke
Quantum field theory has various projective characteristics which are captured by what are called anomalies. This paper explores this idea in the context of fully-extended three-di…