Work

Braid variety cluster structures, II: general type

Year: 2025

Type: article

Abstract: We show that braid varieties for any complex simple algebraic group $G$ G are cluster varieties. This includes open Richardson varieties inside the flag variety $G/B$ G / B .

Source: Inventiones mathematicae

DOI: 10.1007/s00222-025-01390-5

Authors: Pavel Galashin, Thomas Lam, Melissa Sherman-Bennett

Institutions: University of California, Los Angeles, University of Michigan, University of California, Davis

Language: English

Topic: Algebraic structures and combinatorial models

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,090

Funder: National Science Foundation

Awards: Combinatorics of Total Positivity: Amplituhedra and Braid Varieties, Combinatorics in Geometry and Physics, Totally Positive Spaces and Cluster Algebras, PostDoctoral Research Fellowship, Positive Geometry, CAREER: Statistical mechanics and knot theory in algebraic combinatorics

OpenAlex ID: W4416398122

FWCI: 1.775

Cites: 32

Cited by: 3

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