摘要翻译:
研究了紧致Kahler流形中特殊Lagrangian子流形的逆正则因子补的复模空间的几何性质。特别地,我们在具体的例子中探索了T-对偶性和镜像对称性之间的联系,并展示了量子校正是如何在这种情况下产生的。
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英文标题:
《Mirror symmetry and T-duality in the complement of an anticanonical
divisor》
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作者:
Denis Auroux
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最新提交年份:
2007
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分类信息:
一级分类:Mathematics 数学
二级分类:Symplectic Geometry 辛几何
分类描述:Hamiltonian systems, symplectic flows, classical integrable systems
哈密顿系统,辛流,经典可积系统
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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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一级分类:Mathematics 数学
二级分类:Differential Geometry 微分几何
分类描述:Complex, contact, Riemannian, pseudo-Riemannian and Finsler geometry, relativity, gauge theory, global analysis
复形,接触,黎曼,伪黎曼和Finsler几何,相对论,规范理论,整体分析
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英文摘要:
We study the geometry of complexified moduli spaces of special Lagrangian submanifolds in the complement of an anticanonical divisor in a compact Kahler manifold. In particular, we explore the connections between T-duality and mirror symmetry in concrete examples, and show how quantum corrections arise in this context.
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PDF链接:
https://arxiv.org/pdf/0706.3207