Curves in the disc, the type B braid group, and a type B zigzag algebra.

Autor: Heng, Edmund, Kie Seng Nge
Předmět:
Zdroj: Quantum Topology; 2024, Vol. 15 Issue 2, p337-417, 81p
Abstrakt: 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. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index