2 papers
math.KT2025
Hilbert-Hadamard spaces and the equivariant coarse Novikov conjecture
Liang Guo, Qin Wang, Jianchao Wu +1
The equivariant coarse Novikov conjectures stand among a handful profound -theoretic conjectures in noncommutative geometry. Motivated by the quest to verify Novikov-type conjec…
math.KT2025
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…