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

摘要

We show McKay correspondence for Betti numbers of Chena??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) 901a??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) 397a??415; 50(4) (2013) 977a??1005), we have proved the correspondence in dimensions four and six. Here we deal with the general case.