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math.GT2025
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…