|
|
| |
| Chen-Ruan Cohomology and Stringy Orbifold K-Theory for Stable Almost Complex Orbifolds |
| |
Citation： |
Chengyong DU,Tiyao LI.Chen-Ruan Cohomology and Stringy Orbifold K-Theory for Stable Almost Complex Orbifolds[J].Chinese Annals of Mathematics B,2020,41(5):741~760 |
| Page view： 645
Net amount： 355 |
Authors： |
Chengyong DU; Tiyao LI |
Foundation： |
This work was 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 |
|
|
| Abstract： |
Comparing to the construction of stringy cohomology ring of equivariant stable 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. |
Keywords： |
Stable almost complex orbifolds, Chen-Ruan cohomology, Orbifold Ktheory, Stringy product |
Classification： |
55N32, 53D45, 55N15, 19L10 |
|
|
Download PDF Full-Text
|
|
|
|
