11 citations · 42 across the 16 of their papers we have counts for
6 papers · 1 filter
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…
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…
Relative (generalized) differential cohomology
Fabio Ferrari Ruffino
Let h be a rationally even cohomology theory and h^ the natural differential refinement, as defined by Hopkins and Singer. We consider the possible definitions of the relative diff…
Geometric homology revisited
Fabio Ferrari Ruffino
Given a cohomology theory, there is a well-known abstract way to define the dual homology theory using the theory of spectra. In [4] the author provides a more geometric constructi…
Flat pairing and generalized Cheeger-Simons characters
Fabio Ferrari Ruffino
Let h^{*} be a multiplicative cohomology theory, h_{*} its dual homology theory and \hat{h}^{*} a differential refinement. We first construct the natural pairing between h_{*} and…
Gysin map and Atiyah-Hirzebruch spectral sequence
Fabio Ferrari Ruffino
We discuss the relations between the Atiyah-Hirzebruch spectral sequence and the Gysin map for a multiplicative cohomology theory, on spaces having the homotopy type of a finite CW…