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- Title
Curves in the disc, the type B braid group, and a type B zigzag algebra.
- Authors
Heng, Edmund; Kie Seng Nge
- Abstract
We construct a finite-dimensional quiver algebra from the non-simply laced type B Dynkin diagram, which we call type B zigzag algebra. This leads to a faithful categorical action of the type B Artin (braid) group A.B/, acting on the homotopy category of its projective modules. This categorical action is also closely related to the topological action of A.B/, viewed as mapping class group of the punctured disc – hence, our exposition can be seen as a type B analogue of Khovanov–Seidel’s work.
- Subjects
ARTIN algebras; DYNKIN diagrams; ALGEBRA; BRAID group (Knot theory); INTERSECTION numbers
- Publication
Quantum Topology, 2024, Vol 15, Issue 2, p337
- ISSN
1663-487X
- Publication type
Article
- DOI
10.4171/QT/198