English

Notes on exotic and perverse-coherent sheaves

Representation Theory 2014-09-26 v1

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).

Keywords

Cite

@article{arxiv.1409.7346,
  title  = {Notes on exotic and perverse-coherent sheaves},
  author = {Pramod N. Achar},
  journal= {arXiv preprint arXiv:1409.7346},
  year   = {2014}
}

Comments

33 pages

R2 v1 2026-06-22T06:05:59.991Z