4 papers
Quillen equivalences for truncated multicomplexes
Jiahao Hu
We establish Quillen equivalences between successive truncations of multicomplexes for the model structures that detect weak equivalences simultaneously on prescribed pages of the…
Bott-Chern and Aeppli homotopy
Jiahao Hu
This paper introduces Bott-Chern and Aeppli homotopy sets for a fibrant class of bisimplicial sets and establishes their basic properties. In positive bidegrees, Bott-Chern homotop…
Obstruction Theory for Bigraded Differential Algebras
Jiahao Hu
We develop an obstruction theory for Hirsch extensions of cbba's with twisted coefficients. This leads to a variety of applications, including a structural theorem for minimal cbba…
Characterization of differential K-theory by hexagon diagram
Jiahao Hu
Using a canonical topology on differential K-theory induced from the Frechét space topology on differential forms and the discrete topology on topological K-theory, we prove that…