25 citations · 53 across the 8 of their papers we have counts for
8 papers
Cobordism obstructions to independent vector fields
Marcel Bökstedt, Johan L. Dupont, Anne Marie Svane
We define an invariant for the existence of r pointwise linearly independent sections in the tangent bundle of a closed manifold. For low values of r, explicit computations of the…
A dilogarithmic formula for the Cheeger-Chern-Simons class
Johan Dupont, Christian Zickert
We present a simplification of Neumann's formula for the universal Cheeger-Chern-Simons class of the second Chern polynomial. Our approach is completely algebraic, and the final fo…
A generalization of Abel's Theorem and the Abel--Jacobi map
Johan L. Dupont, Franz W. Kamber
We generalize Abel's classical theorem on linear equivalence of divisors on a Riemann surface. For every closed submanifold in a compact oriented Riemannian --…
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…
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…
Gerbes, simplicial forms and invariants for families of foliated bundles
Johan L. Dupont, Franz W. Kamber
The notion of a gerbe with connection is conveniently reformulated in terms of the simplicial deRham complex. In particular the usual Chern-Weil and Chern-Simons theory is well ada…