2010/05/25 by Gwyn Bellamy, Bellamy, Gwyn, Toshiro Kuwabara +1
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Quantum Algebra (math.QA) #Representation Theory (math.RT) #math.QA #math.RT
paper · pdf · doi:10.48550/arxiv.1005.4645
33 pages; text has been substantially revised; Final version to appear in PJM
openalex publication_date 2010/05/25 · arxiv created 2012/08/29 · arxiv updated 2012/08/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Based on a construction by Kashiwara and Rouquier, we present an analogue of the Beilinson- Bernstein localization theorem for hypertoric varieties. In this case, sheaves of differential operators are replaced by sheaves of W-algebras. As a special case, our result gives a localization theorem for rational Cherednik algebras associated to cyclic groups.