Notes on multiplier Hopf algebras and invariants of framed links and 3-manifolds
Tao Yang, David Yetter
TL;DR
This paper extends the Hennings construction of invariants for framed links and 3-manifolds to certain algebraic quantum groups, broadening the applicability of these topological invariants.
Contribution
It demonstrates that the Hennings construction can be applied to algebraic quantum groups, not just Hopf algebras, enhancing the scope of topological invariants.
Findings
Hennings invariants can be constructed from algebraic quantum groups.
The method applies to a broader class of algebraic structures.
Potential new invariants for 3-manifolds and links are identified.
Abstract
In this paper, we show that Hennings construction of invariants of framed links and 3-manifolds obtained from Hopf algebras can also be carried out for some algebraic quantum groups.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Operator Algebra Research · Algebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology