7 citations · 19 across the 13 of their papers we have counts for
13 papers
Explicit Matrices over with CNOT and Row Complexity and Local Logic Gates
Sherry Gong, Andrew Yu
In this article, we present an explicit family of invertible matrices over whose CNOT and row complexity is at least ; equivalently, reduc…
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…
Families of metrics with positive scalar curvature on spectral sequence cobordisms
Sherry Gong
We study families of metrics on the cobordisms that underlie the differential maps in Bloom's monopole Floer spectral sequence, a spectral sequence for links in whose i…
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…
On the rank of knot homology theories and concordance
Nathan M. Dunfield, Sherry Gong, Thomas Hockenhull +2
For a ribbon knot, it is a folk conjecture that the rank of its knot Floer homology must be 1 modulo 8, and another folk conjecture says the same about reduced Khovanov homology. W…
Non-orientable link cobordisms and torsion order in Floer homologies
Sherry Gong, Marco Marengon
We use unoriented versions of instanton and knot Floer homology to prove inequalities involving the Euler characteristic and the number of local maxima appearing in unorientable co…
On the Kronheimer-Mrowka concordance invariant
Sherry Gong
Kronheimer and Mrowka introduced a new knot invariant, called , which is a gauge theoretic analogue of Rasmussen's invariant. In this article, we compute Kronheimer a…
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…
Khovanov homology and binary dihedral representations for marked links
Sherry Gong
We introduce a version of Khovanov homology for alternating links with marking data, , inspired by instanton theory. We show that the analogue of the spectral sequence from Khov…
Property RD and the Classification of Traces on Reduced Group -algebras of Hyperbolic Groups
Sherry Gong
In this paper, we show that if by a non-elementary word hyperbolic group and an element, if the conjugacy class of is infinite, then all traces $τ:C^*_{\text{red}…
Finite Part of Operator -Theory for Groups with Rapid Decay
Sherry Gong
In this paper we study the part of the -theory of the reduced -algebra arising from torsion elements of the group, and in particular we study the pairing of -theory with…
Computational approaches to Poisson traces associated to finite subgroups of Sp(2n,C)
Pavel Etingof, Sherry Gong, Aldo Pacchiano +2
We reduce the computation of Poisson traces on quotients of symplectic vector spaces by finite subgroups of symplectic automorphisms to a finite one, by proving several results whi…