Curves in the disc, the type \(B\) braid group, and a type \(B\) zigzag algebra
DOI10.4171/qt/198arXiv1911.12955OpenAlexW4388898499MaRDI QIDQ6203835
Publication date: 8 April 2024
Published in: Quantum Topology (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1911.12955
braid groupszigzag algebrascategorical actions on bounded homotopy category of projective modulescategorified homological representationgraded curves intersection numbersisotopy classes of curves in punctured discsscalars extensiontype \(B\) Dynkin diagram
Braid groups; Artin groups (20F36) Homological methods in group theory (20J05) Representations of quivers and partially ordered sets (16G20) Group actions on manifolds and cell complexes in low dimensions (57M60) Abelian categories, Grothendieck categories (18E10) Grothendieck groups (category-theoretic aspects) (18F30) Homological algebra in category theory, derived categories and functors (18G99)
Cites Work
- Unnamed Item
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- Singularities of differentiable maps, Volume 2. Monodromy and asymptotics of integrals. Transl. from the Russian by Hugh Porteous and revised by the authors and James Montaldi
- Categorifications from planar diagrammatics
- Frobenius algebras. I: Basic representation theory.
- Fukaya categories and Picard-Lefschetz theory
- Simple singularities and simple algebraic groups
- Dynamical systems VI. Singularity theory I. Transl. from the Russian by A. Iacob
- On algebras of finite representation type
- Basic definitions and properties of topological branched coverings
- Braid group actions on derived categories of coherent sheaves.
- On isotopies of homeomorphisms of Riemann surfaces
- Quivers, Floer cohomology, and braid group actions
- Categorical action of the extended braid group of affine type A
- Combinatorics of Coxeter Groups
- Braid groups of type ADE, Garside monoids, and the categorified root lattice
- Two-color Soergel Calculus and Simple Transitive 2-representations
- Braid Groups
- A category for the adjoint representation
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