Cyclic Sieving and Cluster Duality of Grassmannian

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2020
• Hauptverfasser: Shen, Linhui, Weng, Daping
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2020
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/210781
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: Cyclic Sieving and Cluster Duality of Grassmannian. Linhui Shen and Daping Weng. SIGMA 16 (2020), 067, 41 pages

We introduce a decorated configuration space Confˣₙ() with a potential function . We prove the cluster duality conjecture of Fock-Goncharov for Grassmannians, that is, the tropicalization of (Confˣₙ(), ) canonically parametrizes a linear basis of the homogeneous coordinate ring of the Grassmannian G...