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摘要翻译：
我们建立了开闭弦理论的Batalin-Vilkovisky量子主方程，并证明了相应的模空间给出了一个解，即它们的基本链的母函数。该方程编码了边界黎曼曲面模空间紧化的拓扑结构。期望J-全纯曲线的模空间满足相同的方程，从这个观点出发，我们讨论了目标空间等于点的情况。我们还引入了对称开闭拓扑共形场论的概念，并研究了与之相关的L_infty和A_infty代数结构。
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英文标题：
《Open-closed moduli spaces and related algebraic structures》
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作者：
Eric Harrelson, Alexander A. Voronov, J. Javier Zuniga
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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：Quantum Algebra 量子代数
分类描述：Quantum groups, skein theories, operadic and diagrammatic algebra, quantum field theory
量子群，skein理论，运算代数和图解代数，量子场论
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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：
We set up a Batalin-Vilkovisky Quantum Master Equation for open-closed string theory and show that the corresponding moduli spaces give rise to a solution, a generating function for their fundamental chains. The equation encodes the topological structure of the compactification of the moduli space of bordered Riemann surfaces. The moduli spaces of bordered J-holomorphic curves are expected to satisfy the same equation, and from this viewpoint, our paper treats the case of the target space equal to a point. We also introduce the notion of a symmetric Open-Closed Topological Conformal Field Theory and study the L_\infty and A_\infty algebraic structures associated to it.
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PDF链接：
https://arxiv.org/pdf/0709.3874
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