2020/11/22 by Taiwang Deng, Bin Xu, Deng, Taiwang +1
Mathematics · #Algebraic structures and combinatorial models #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics
paper · pdf · doi:10.48550/arxiv.2011.10962
In this article we study a conjecture of Geiss-Leclerc-Schröer, which is an analogue of a classical conjecture of Lusztig in the Weyl group case. It concerns the relation between canonical basis and semi-canonical basis through the characteristic cycles. We formulate an approach to this conjecture and prove it for type A2 quiver. In general type A case, we reduce the conjecture to show that certain nearby cycles have vanishing Euler characteristic.