A combinatorial approach to scattering diagrams

DOI10.5802/alco.107zbMath1446.13016arXiv1806.05094OpenAlexW3033938198MaRDI QIDQ2187942

Nathan Reading

Publication date: 3 June 2020

Published in: Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.05094

zbMATH Keywords

root systemcluster algebraNarayana numberbroken lineCambrian fancluster scattering diagramexchange matrix

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial aspects of representation theory (05E10) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Cluster algebras (13F60) Mirror symmetry (algebro-geometric aspects) (14J33)

Related Items (7)

Singularities of eight- and nine-particle amplitudes from cluster algebras and tropical geometry ⋮ Asymptotic Sign Coherence Conjecture ⋮ DILOGARITHM IDENTITIES IN CLUSTER SCATTERING DIAGRAMS ⋮ Toric degenerations of cluster varieties and cluster duality ⋮ Algebraic branch points at all loop orders from positive kinematics and wall crossing ⋮ Algebraic singularities of scattering amplitudes from tropical geometry ⋮ τ-Cluster morphism categories and picture groups

Cites Work

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• Wall-Crossing Structures in Donaldson–Thomas Invariants, Integrable Systems and Mirror Symmetry
• Eulerian Numbers
• On the Shard Intersection Order of a Coxeter Group
• Combinatorial Frameworks for Cluster Algebras
• Unnamed Item

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