2023/10/10 by Piotr Przytycki, Przytycki, Piotr, Yeeka Yau +1 · 1 citation
Computer Science · Mathematics · #20F10 #20F55 #Algebraic Geometry and Number Theory #Combinatorics (math.CO) #FOS: Mathematics #Geometric and Algebraic Topology #Group Theory (math.GR) #semigroups and automata theory
paper · pdf · doi:10.48550/arxiv.2310.06267
openalex publication_date 2023/10/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
We prove that the smallest elements of Shi parts and cone type parts exist and form Garside shadows. The latter resolves a conjecture of Parkinson and the second author as well as a conjecture of Hohlweg, Nadeau and Williams.