摘要翻译:
对于任何几乎复结构,我们引入了某些同调子群和上同调子群,并研究了它们的纯性、满性和对偶性。受Donaldson的一个问题的启发,我们利用这些群在一大类几乎复流形(包括所有Kahler流形、几乎Kahler 4-流形和复曲面)上把J-驯服辛锥和J-相容辛锥联系起来。
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英文标题:
《Comparing tamed and compatible symplectic cones and cohomological
properties of almost complex manifolds》
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作者:
Tian-Jun Li, Weiyi Zhang
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最新提交年份:
2009
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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 introduce certain homology and cohomology subgroups for any almost complex structure and study their pureness, fullness and duality properties. Motivated by a question of Donaldson, we use these groups to relate J-tamed symplectic cones and J-compatible symplectic cones over a large class of almost complex manifolds, including all Kahler manifolds, almost Kahler 4-manifolds and complex surfaces.
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PDF链接:
https://arxiv.org/pdf/0708.2520