11 citations · 42 across the 16 of their papers we have counts for
19 papers
Graded Identities of the Virasoro Algebra
Fabio Ferrari Ruffino
We study the graded polynomial identities satisfied by the Virasoro algebra over an infinite field, completing the analysis realised by C. Fidelis, D. Diniz, and P. Koshlukov [Z-gr…
Differential Homology
Fabio Ferrari Ruffino, Gabriel Longatto Clemente
We first construct the differential refinement of singular homology, verifying that it satisfies the axioms dual to their cohomological counterparts. Then, we define the differenti…
Twisted differential K-characters and D-branes
Fabio Ferrari Ruffino, Juan Carlos Rocha Barriga
We analyse in detail the language of partially non-abelian Deligne cohomology and of twisted differential K-theory, in order to describe the geometry of type II superstring backgro…
Relative differential cohomology and generalized Cheeger-Simons characters
Fabio Ferrari Ruffino, Juan Carlos Rocha Barriga
We provide a suitable axiomatic framework for differential cohomology in the relative case and we deduce the corresponding long exact sequences. We also construct the relative vers…
Differential K-characters and D-branes
Fabio Ferrari Ruffino
Starting from the definition of Cheeger-Simons K-character, we show how to describe D-brane world-volumes, the Wess-Zumino action and topological D-brane charges within the K-theor…
Relative Deligne cohomology and Cheeger-Simons characters
Fabio Ferrari Ruffino
In the paper [1] (arXiv:math/0408333) the authors discuss two possible definitions of the relative Cheeger-Simons characters, the second one fitting into a long exact sequence. Her…