3 citations · 3 across the 1 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
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…