6 citations · 9 across the 4 of their papers we have counts for
6 papers
Bar-Natan's Khovanov homology for coloured links
Marco Mackaay, Paul Turner
Using Bar-Natan's Khovanov homology we define a homology theory for coloured, oriented, framed links. We then compute this explicitly.
Calculating Bar-Natan's characteristic two Khovanov homology
Paul Turner
We investigate Bar-Natan's characteristic two Khovanov link homology theory studying both the filtered and bi-graded theories. The filtered theory is computed explicitly and the bi…
Abelian homotopy Dijkgraaf-Witten theory
S. K. Hansen, J. K. Slingerland, P. R. Turner
We construct a version of Dijkgraaf-Witten theory based on a compact abelian Lie group within the formalism of Turaev's homotopy quantum field theory. As an application we show tha…
Relative differential characters
Mark Brightwell, Paul Turner
There are two natural candidates for the group of relative Cheeger-Simons differential characters. The first directly extends the work of Cheeger and Simons and the second extends…
Homotopy quantum field theories and tortile structures
M. Brightwell, P. Turner
We study a variation of Turaev's homotopy quantum field theories using 2-categories of surfaces. We define the homotopy surface 2-category of a space and define an $\cS_X$-stru…
Representations of the homotopy surface category of a simply connected space
M. Brightwell, P. Turner
We introduce the homotopy surface category of a space which generalizes the 1+1-dimensional cobordism category of circles and surfaces to the situation where one introduces a backg…