Chen-Ruan Cohomology and Stringy Orbifold K-Theory for Stable Almost Complex Orbifolds  

作　　者：Chengyong DU Tiyao LI 

机构地区：[1]School of mathematics and V.C.&V.R.Key Lab,Sichuan Normal University,Chengdu 610068,China [2]School of Mathematics,Chongqing Normal University,Chongqing 401331,China

出　　处：《Chinese Annals of Mathematics,Series B》2020年第5期741-760,共20页数学年刊（B辑英文版）

基　　金：supported by the National Natural Science Foundation of China(Nos.11501393,11626050,11901069);Sichuan Science and Technology Program(No.2019YJ0509);joint research project of Laurent Mathematics Research Center of Sichuan Normal University and V.C.&V.R.Key Lab of Sichuan Province,by Science and Technology Research Program of Chongqing Education Commission of China(No.KJ1600324);Natural Science Foundation of Chongqing,China(No.cstc2018jcyjAX0465).

摘　　要：Comparing to the construction of stringy cohomology ring of equivariant sta-ble almost complex manifolds and its relation with the Chen-Ruan cohomology ring of the quotient almost complex orbifolds,the authors construct in this note a Chen-Ruan cohomology ring for a stable almost complex orbifold.The authors show that for a finite group G and a G-equivariant stable almost complex manifold X,the G-invariant part of the stringy cohomology ring of(X,G)is isomorphic to the Chen-Ruan cohomology ring of the global quotient stable almost complex orbifold[X/G].Similar result holds when G is a torus and the action is locally free.Moreover,for a compact presentable stable almost complex orbifold,they study the stringy orbifold K-theory and its relation with Chen-Ruan cohomology ring.

关 键 词：Stable almost complex orbifolds Chen-Ruan cohomology Orbifold K-theory Stringy product 

分 类 号：O153.3[理学—数学]