61 citations · 342 across the 32 of their papers we have counts for
34 papers
A geometrical description of untwisted 3d Dijkgraaf-Witten TQFT with defects
João Faria Martins, Catherine Meusburger
We give a simple, geometric and explicit construction of 3d untwisted Dijkgraaf-Witten theory with defects of all codimensions. It is given as a symmetric monoidal functor from a d…
The Darboux-KP system as an integrable Chern-Simons multiform theory in infinite dimensional space
Joao Faria Martins, Frank W Nijhoff, Daniel Riccombeni
In a previous paper by one of the authors, a Lagrangian 3-form structure was established for a generalised Darboux system, originally describing orthogonal curvilinear coordinate s…
A categorification of Quinn's finite total homotopy TQFT with application to TQFTs and once-extended TQFTs derived from strict omega-groupoids
João Faria Martins, Timothy Porter
We first revisit the construction of Quinn's finite total homotopy TQFT, which depends on the choice of a homotopy finite space, . This constitutes a vast generalis…
Exactly solvable models for 2+1D topological phases derived from crossed modules of semisimple Hopf algebras
Vincent Koppen, João Faria Martins, Paul Purdon Martin
We define an exactly solvable model for 2+1D topological phases of matter on a triangulated surface derived from a crossed module of semisimple finite-dimensional Hopf algebras, th…
On a canonical lift of Artin's representation to loop braid groups
Celeste Damiani, João Faria Martins, Paul Purdon Martin
Each pointed topological space has an associated -module, obtained from action of its first homotopy group on its second homotopy group. For the -ball with a trivial link wit…
Higher lattices, discrete two-dimensional holonomy and topological phases in (3+1) D with higher gauge symmetry
Alex Bullivant, Marcos Calcada, Zoltán Kádár +2
Higher gauge theory is a higher order version of gauge theory that makes possible the definition of 2-dimensional holonomy along surfaces embedded in a manifold where a gauge 2-con…