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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.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…