From the 1 of 4 linked papers with an AI index.
4 papers
Explicit Matrices over with CNOT and Row Complexity and Local Logic Gates
Sherry Gong, Andrew Yu
The paper constructs explicit families of invertible binary matrices whose reduction to the identity needs at least 4n − o(n) elementary row operations, and shows the same lower bo…
The 2-Twist Spun Trefoil Has Crossing Number Six
Sherry Gong, Samuel Lewis-Monkman, Jesse Osnes
We study the tri-plane crossing number, that is, the minimal number of crossings in a tri-plane diagram for a bridge trisection of a knotted sphere in . We show that every 2-k…
Ribbon concordances and slice obstructions: experiments and examples
Nathan M. Dunfield, Sherry Gong
There are 352.2 million prime knots in the 3-sphere with at most 19 crossings. We study which of these knots are slice, in both the smooth and topological categories. While no algo…
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…