3 citations · 3 across the 3 of their papers we have counts for
4 papers
Invariants from involutory Hopf algebras of 3-manifolds with embedded framed links
Nicolas Bridges, Shawn X. Cui
We give invariants of pairs consisting of a closed connected oriented three-manifold and an (oriented) framed link embedded in . This invariant generalizes the Kuper…
Involutory Hopf group-coalgebras and invariants of flat bundles over 4-manifolds
Nicolas Bridges, Shawn Cui
We give invariants of flat bundles over 4-manifolds generalizing a result by Chaidez, Cotler, and Cui (Alg. \& Geo. Topology '22). We utilize a structure called a Hopf -triplet…
Refined Phase Diagram for a Spin-1 System Exhibiting a Haldane Phase
Mohamad Mousa, Birgit Wehefritz-Kaufmann, Sabre Kais +2
We provide the phase diagram of a 2-parameter spin-1 chain that has a symmetry-protected topological (SPT) Haldane phase using computational algorithms along with tensor-network to…
Combed Trisection Diagrams and Non-Semisimple 4-Manifold Invariants
Julian Chaidez, Jordan Cotler, Shawn X. Cui
Given a triple of (possibly non-semisimple) Hopf algebras equipped with pairings satisfying a set of properties, we describe a construction of an associated smooth, scalar inva…