Perverse sheaves and quivers
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. Web3. From g-modules to D-modules to perverse sheaves 5 3.1. Beilinson-Bernstein localization 5 3.2. B-equivariant D X-modules and perverse sheaves 6 3.3. Regular holonomic D-modules and the Riemann-Hilbert correspondence 7 3.4. The image of category O 9 4. The Kazhdan-Lusztig conjectures 10 4.1. Hecke algebras and Kazhdan-Lusztig polynomials 10 4.2.
Perverse sheaves and quivers
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WebThe mathematical term perverse sheaves refers to a certain abelian category associated to a topological space X, which may be a real or complex manifold, or a more general … Web29. okt 2010 · Chuang and Jafferis associate a new quiver ( in Section 5.3) to each chamber and conjecture that the moduli spaces are isomorphic to the corresponding moduli spaces of ζ-stable perverse coherent systems. The quiver is obtained from our quiver ( in Figure 4) by successive mutations in the sense of . We devote Section 5 to a proof of their ...
Web2. júl 2012 · Mark Andrea A. de Cataldo, Luca Migliorini, The decomposition theorem, perverse sheaves and the topology of algebraic maps, Bull. Amer. Math. Soc. 46 (2009), 535-633, html abs, refs, pdf article Last revised on July 2, 2012 at 19:01:21. WebIn finite type, this is just all equivariant perverse sheaves on the space of quiver representations. But in other types, it gets trickier. For example, for the Kronecker quiver and dimension vector (1,1), I only have two canonical basis vectors, but I have infinitely many equivariant perverse sheaves.
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 ... Websheaf cohomology, and does not use anything about cycles only pullbacks and truncations of complexes of sheaves. In any derived category you can do this even in characteristic p. …
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WebPerverse sheaves, and quantized enveloping algebras (1991) by G Lusztig, Quivers Venue: Journ. A.M.S: Add To MetaCart. Tools. Sorted by: Results 1 - 10 of 199. Next 10 →. A … clovis municipal airport nmWebthe category of perverse sheaves on Cnsmooth with respect to this strati- cation. We give a description of Perv(Cn;H) as the category of represen-tations of an explicit quiver with … clovis municipal airport to cannon afbWebFlag varieties on quivers. Convolution of perverse sheaves. The example of the Dynkin quiver \(\bullet \longrightarrow \bullet\), [15,17,22]. L16 Quiver Hecke algebras as Ext … clovis municipal schools employmentWeb21. jan 2014 · Quivers with loops and perverse sheaves. Tristan Bozec. In this article we consider the general definition of Lustig sheaves for arbitrary quivers, possibly carrying … cabela\u0027s tulalip wa hoursWebWe denote by P e r v ( C n, H) the category of perverse sheaves on C n smooth with respect to this stratification. We give a description of P e r v ( C n, H) as the category of … cabela\\u0027s turkey cookerWebquivers: cuspidal functions, perverse sheaves and Kac polynomials L’algèbre de Hall des courbes et des carquois : fonctions cuspidales, faisceaux pervers et polynômes de Kac … clovis mustard walnut 200gWebSupporting: 2, Mentioning: 393 - Quivers, Perverse Sheaves, and Quantized Enveloping Algebras - Lusztig, G. clovis municipal schools skyward login