Showing math.KTShow all
2 papers · 1 filter
math.KT2023
The Novikov conjecture, the group of diffeomorphisms and continuous fields of Hilbert-Hadamard spaces
Sherry Gong, Jianchao Wu, Zhizhang Xie +1
In this paper, we prove the Novikov conjecture for a class of highly non-linear groups, namely discrete subgroups of the diffeomorphism group of a compact smooth manifold. This rem…
math.KT2018
The Novikov conjecture, the group of volume preserving diffeomorphisms and Hilbert-Hadamard spaces
Sherry Gong, Jianchao Wu, Guoliang Yu
We prove that the Novikov conjecture holds for any discrete group admitting an isometric and metrically proper action on an admissible Hilbert-Hadamard space. Admissible Hilbert-Ha…