2 papers
math.GT2008
Lattice Gauge Field Theory and Prismatic Sets
Bedia Akyar, Johan L. Dupont
We study prismatics sets analogously to simplical sets except that realization involves prisms, i.e., products of simplices rather than just simplices. Particular examples are the…
math.DG2004
Integration of simplicial forms and Deligne cohomology
Johan L. Dupont, Rune Ljungmann
We present two approaches to constructing an integration map for smooth Deligne cohomology. The first is defined in the simplicial model, where a class in Deligne cohomology is rep…