46 citations · 139 across the 21 of their papers we have counts for
8 papers · 1 filter
Sheaf homology of hyperplane arrangements, Boolean covers and exterior powers
Brent Everitt, Paul Turner
We compute the sheaf homology of the intersection lattice of a hyperplane arrangement with coefficients in the graded exterior sheaf of the natural sheaf. This builds on the result…
Deletion-restriction for sheaf homology of graded atomic lattices
Brent Everitt, Paul Turner
We give a long exact sequence for the homology of a graded atomic lattice equipped with a sheaf of modules, in terms of the deleted and restricted lattices. This is then used to co…
Cellular cohomology of posets with local coefficients
Brent Everitt, Paul Turner
We describe a "cellular" approach to the computation of the cohomology of a poset with coefficients in a presheaf. A cellular cochain complex is constructed, described explicitly a…
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…
A functorial approach to differential characters
Paul Turner
We describe Cheeger-Simons differential characters in terms of a variant of Turaev's homotopy quantum field theories based on chains in a smooth manifold X.
Homotopy Quantum Field Theories and Related Ideas
M. Brightwell, P. Turner, S. Willerton
In this short note we provide a review of some developments in the area of homotopy quantum field theories, loosely based on a talk given by the second author at the Xth Oporto Mee…