WebSince its inception around 1980, the theory of perverse sheaves has been a vital tool of fundamental importance in geometric representation theory. This book, which aims to make this theory accessible to students and researchers, is divided into two parts. The first six chapters give a comprehensive account of constructible and perverse sheaves ... WebAbstractIn this article we consider the general definition of Lusztig sheaves for arbitrary quivers, possibly carrying loops. We prove a conjecture raised by Lusztig asking if the more elementary Lusztig perverse sheaves are enough to span the whole Grothendieck group usually built with these sheaves.
Mikhail Kapranov and Vadim Schechtman - Annals of Mathematics
Web21. jan 2014 · In this article we consider the general definition of Lusztig sheaves for arbitrary quivers, possibly carrying loops. We prove a conjecture raised by Lusztig asking … WebPerverse Sheaves and Quiver Representations. A perverse sheaf on Cn is a cochain complex of sheaves on Cn which satis- es a few additional properties, especially … cofinity lucent health
Quivers with loops and perverse sheaves - DeepDyve
WebStack Exchange network consists of 181 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.. Visit Stack Exchange Web15. júl 2013 · We study a class of simple perverse sheaves on framed representation varieties of the Jordan quiver in analogy with the one in Li (2013) . We show that the … Webover this quiver with M 0;M 1 in degree 0 (h= 0 in this case). There are exactly 5 of these. They can be thought of as perverse sheaves and have something to do with sl 2-modules of highest weight with central character 0. Here they are: C 0 (0 0 i;C ˘) C 0 i;0 0) C 0 h;C 0) C ˘ i;C C ˇ 1 *C i 2 m: (2) Exercise 19.1. These are all the ... cofinity mental health