摘要翻译:
在这个注释中,我定义了一个三角分类中的紧支撑对象的概念。我证明了许多与传统支持概念有关的命题,并给出了导出的Morita等价理论的应用。我还讨论了奇点处D-膜与超对称规范理论的联系。
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英文标题:
《A Note on Support in Triangulated Categories》
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作者:
Aaron Bergman
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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 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:Physics 物理学
二级分类:High Energy Physics - Theory 高能物理-理论
分类描述:Formal aspects of quantum field theory. String theory, supersymmetry and supergravity.
量子场论的形式方面。弦理论,超对称性和超引力。
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一级分类:Mathematics 数学
二级分类:Category Theory 范畴理论
分类描述:Enriched categories, topoi, abelian categories, monoidal categories, homological algebra
丰富范畴,topoi,abelian范畴,monoidal范畴,同调代数
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英文摘要:
In this note, I define a notion of a compactly supported object in a triangulated category. I prove a number of propositions relating this to traditional notions of support and give an application to the theory of derived Morita equivalence. I also discuss a connection to supersymmetric gauge theories arising from D-branes at a singularity.
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PDF链接:
https://arxiv.org/pdf/0804.3986