Notes on exotic and perverse-coherent sheaves

2014/09/25 by Pramod N. Achar, Achar, Pramod N.
Mathematics · #FOS: Mathematics #Representation Theory (math.RT) #math.RT

paper · pdf · doi:10.48550/arxiv.1409.7346

33 pages

arxiv created 2014/09/25 · arxiv updated 2014/09/26

Abstract

Exotic sheaves are certain complexes of coherent sheaves on the cotangent bundle of the flag variety of a reductive group. They are closely related to perverse-coherent sheaves on the nilpotent cone. This expository article includes the definitions of these two categories, applications, and some structure theory, as well as detailed calculations for SL(2).

Related

• Perverse sheaves on affine flags and nilpotent cone of the Langlands dual group
• Perverse coherent sheaves (after Deligne)
• Perverse coherent sheaves on symplectic singularities
• Exotic t-structure for partial resolutions of the nilpotent cone
• Calculations with graded perverse-coherent sheaves