48 citations · 80 across the 4 of their papers we have counts for
5 papers
Characters for Complex Bundles and their Connections
James Simons, Dennis Sullivan
The paper combines several fortunate mini miracles to achieve its two objectives. These were woven together in a several year's effort to answer a question raised by Iz Singer a de…
The Mayer-Vietoris Property in Differential Cohomology
James Simons, Dennis Sullivan
In [1] it was shown that K^, a certain differential cohomology functor associated to complex K-theory, satisfies the Mayer-Vietoris property when the underlying manifold is compact…
The Mayer-Vietoris Property in Differential Cohomology
James Simons, Dennis Sullivan
In [1] it was shown that K^, a certain differential cohomology functor associated to complex K-theory, satisfies the Mayer-Vietoris property when the underlying manifold is compact…
Structured vector bundles define differential K-theory
James Simons, Dennis Sullivan
A equivalence relation, preserving the Chern-Weil form, is defined between connections on a complex vector bundle. Bundles equipped with such an equivalence class are called Struct…
Axiomatic Characterization of Ordinary Differential Cohomology
James Simons, Dennis Sullivan
Cheeger-Simons differential characters, Deligne cohomology in the smooth category, the Hopkins-Singer construction of ordinary differential cohomology and the recent Harvey-Lawson…