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

Proceedings of the Indian Academy of Sciences. Mathematical sciences

SAIBAL GANGULI^1¹ 

[1] ICTS-TIFR, Survey No. 151, Shivakote, Hesaraghatta Hobli, Bengaluru 560 089, India^1

关键词: Blowdown;    McKay correspondence;    orbifold;    projective toric;    quasitoric;   

DOI  :  

学科分类：数学（综合）

来源: Indian Academy of Sciences

【 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.

【 授权许可】

CC BY