5 citations · 5 across the 2 of their papers we have counts for
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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…
Invariants of real vector bundles
Jiahao Hu
For a compact smooth manifold with corners (or finite CW-complex) , we can prescribe a finite set of spin or spin manifolds (possibly with boundary) mapping into it so that…
Almost complex manifolds with total Betti number three
Jiahao Hu
We show the minimal total Betti number of a closed almost complex manifold of dimension is four, thus confirming a conjecture of Sullivan except for dimension . Along…