3 papers
math.GT2026
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…
math.GT2025
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…
cond-mat.str-el2025
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…