3 citations · 4 across the 3 of their papers we have counts for
3 papers
math.AT2004★ 3 cited
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…
math.QA2001★ 1 cited
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…
math.AT1999
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…