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摘要翻译：
本文给出了一个计算阿贝尔复数轨道的扭曲轨道K理论上弦积的模型。在第一部分中，我们考虑了紧abelian李群作用于流形的商所表示的轨道上的非扭曲情形。我们给出了阻塞束的显式描述，解释了它与Jarvis-Kaufmann-Kimura定义的乘积的关系，以及通过Chern特征映射与Chen-阮上同调的关系，并明确地计算了加权射影轨道的弦积。在第二部分中，我们考虑了由有限阿贝尔群作用的流形的商表示的轨道，以及群上同调引起的扭转。本文给出了一个适用于计算弦积的扭曲轨道K-理论的分解公式，并用该公式计算了群为$(\integer/2)^3$时的两个例子。
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英文标题：
《Stringy product on twisted orbifold K-theory for abelian quotients》
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作者：
Edward Becerra and Bernardo Uribe
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最新提交年份：
2008
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分类信息：
一级分类：Mathematics 数学
二级分类：Algebraic Topology 代数拓扑
分类描述：Homotopy theory, homological algebra, algebraic treatments of manifolds
同伦理论，同调代数，流形的代数处理
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一级分类：Mathematics 数学
二级分类：Algebraic Geometry 代数几何
分类描述：Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology
代数簇，叠，束，格式，模空间，复几何，量子上同调
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英文摘要：
In this paper we present a model to calculate the stringy product on twisted orbifold K-theory of Adem-Ruan-Zhang for abelian complex orbifolds. In the first part we consider the non-twisted case on an orbifold presented as the quotient of a manifold acted by a compact abelian Lie group. We give an explicit description of the obstruction bundle, we explain the relation with the product defined by Jarvis-Kaufmann-Kimura and, via a Chern character map, with the Chen-Ruan cohomology, and we explicitely calculate the stringy product for a weighted projective orbifold. In the second part we consider orbifolds presented as the quotient of a manifold acted by a finite abelian group and twistings coming from the group cohomology. We show a decomposition formula for twisted orbifold K-theory that is suited to calculate the stringy product and we use this formula to calculate two examples when the group is $(\integer/2)^3$.
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PDF链接：
https://arxiv.org/pdf/0706.3229
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