Chen-Ruan Cohomology and Stringy Orbifold K-Theory for Stable Almost Complex Orbifolds |
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Authors: | Chengyong DU Tiyao LI |
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Institution: | School of mathematics and V. C. & V. R. Key Lab, Sichuan Normal University, Chengdu 610068, China.; School of Mathematics, Chongqing Normal University, Chongqing 401331, China. |
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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. |
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Keywords: | Stable almost complex orbifolds Chen-Ruan cohomology Orbifold Ktheory Stringy product |
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