Special Session 109: Cluster Algebras, Hall Algebras and Their Applications
Webs and their intersections
Zhe Sun
University of Science and Technology of China
Peoples Rep of China
Co-Author(s):    Daniel Douglas, Linhui Shen, Daping Weng, Zhihao Wang, Tsukasa Ishibashi, Wataru Yuasa
Abstract:
G-Webs as certain trivalent graphs on the surfaces, appear naturally in the G-skein algebra and its classical limit the regular function ring of the G character variety. I will explain how we introduce their intersection number to parameterize a basis of the algebra for SL3 (joint work with Daniel Douglas, Linhui Shen, Daping Weng, Zhihao Wang) and Sp4 (joint work with Tsukasa Ishibashi, Wataru Yuasa).
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