McKay correspondence in quasi-SL quasitoric orbifoldsMcKay correspondence in quasi-SL quasitoric orbifolds

[摘要] We show McKay correspondence for Betti numbers of Chen–Ruan cohomology of omnioriented quasi-$SL$ quasitoric orbifolds. This generalizes a correspondence for $SL$ projective toric orbifolds due to Batyrev and Dias (Topology 35(4) (1996) 901–929) to a setting that does not require a complex or even an almost complex structure. In previous works with Ganguli and Poddar (Osaka J. Math. 50(2) (2013) 397–415; 50(4) (2013) 977–1005), we have proved the correspondence in dimensions four and six. Here we deal with the general case.

[学科分类] 数学（综合）

[关键词] Blowdown;McKay correspondence;orbifold;projective toric;quasitoric