McKay correspondence and orbifold equivalence期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

McKay correspondence and orbifold equivalence

Affiliation:	1. Instituto de Matemáticas, Universidad Nacional Autónoma de México, Circuito Exterior, Ciudad Universitaria, México D.F. 04510, Mexico;2. Departamento de Matemáticas, Facultad de Ciencias, Universidad Nacional Autónoma de México, Circuito Exterior, Ciudad Universitaria, México D.F. 04510, Mexico;3. Université de Paris et Sorbonne Université, CNRS, IMJ-PRG, Bâtiment Sophie Germain, 5 rue Thomas Mann, 75205 Paris Cedex 13, France;1. Department of Mathematics, UC Santa Cruz, CA 95064, United States of America;2. Department of Mathematics, Louisiana State University, Baton Rouge, LA 70803, United States of America;1. Departamento de Matemáticas e Instituto Universitario de Matemáticas y Aplicaciones, Universidad de Zaragoza, 50009 Zaragoza, Spain;2. Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John''s, NL, A1C5S7, Canada;1. The Ohio State University at Lima, Lima, OH, USA;2. Università di Camerino, Camerino, Italy

Abstract:	We prove that a pair of singularities related by a transformation arising from the McKay correspondence are orbifold equivalent. From this we deduce a McKay type category equivalence for the matrix factorization categories.

Keywords:	Matrix factorizations Orbifold equivalence McKay correspondence Singularity theory
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