Note on the cohomology of finite cyclic coverings

Yasuhiro Hara; Daisuke Kishimoto

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Note on the cohomology of finite cyclic coverings

机译：关于有限循环覆盖的同调性的注释

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摘要

We introduce the height of a normal cyclic p-fold covering and show a cohomological relation between the base and the total spaces of the covering in terms of the height. We also interpret the height in terms of the category weight.

机译：我们介绍了普通循环p形折叠覆盖物的高度，并根据高度显示了覆盖物的底部和总空间之间的同调关系。我们还根据类别重量来解释高度。

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来源
《Topology and its applications》 |2013年第9期|1061-1065|共5页
作者
Yasuhiro Hara; Daisuke Kishimoto;
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作者单位

Department of Mathematics, Graduate School of Science. Osaka University, Toyonaka, Osaka, 560-0043, Japan;

Department of Mathematics, Kyoto University, Kyoto, 606-8502, Japan;

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原文格式 PDF
正文语种 eng
中图分类
关键词
Covering; Cohomology; Spectral sequence; Category weight;

机译：覆盖;同调;光谱序列类别重量;

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专利

1. A note on the entire cyclic cohomology of a finite-dimensional noncommutative space [J] . Canadian mathematical bulletin . 1993,第1993期

机译：关于有限维非交换空间的整个循环同调的一个注记
2. On the monodromy and mixed Hodge structure on cohomology of the infinite cyclic covering of the complement to a plane algebraic curve [J] . V. S. Kulikov, Vik. S. Kulikov Izvestiya. Mathematics . 1995,第2期

机译：关于单代数和混合霍奇结构在平面代数曲线的补集的无限循环覆盖的同调上
3. On the cohomology of the holomorph of a finite cyclic group [J] . Huebschmann J Journal of Algebra . 2004,第1期

机译：有限环群全同胚的同调
4. A note on Bockstein homomorphisms in local cohomology [C] . Anurag K. Singh, Uli Walther MSJ-SI . 2012

机译：关于局部同学的博克斯坦同性恋的备注
5. Bridge Cohomology: A Generalization of Hochschild and Cyclic Cohomologies [D] . Belcher, Jonathan 2019

机译：桥同调：Hochschild和循环同调的泛化
6. THE FACTORIZATION OF CYCLIC REDUCED POWERS BY SECONDARY COHOMOLOGY OPERATIONS [O] . Arunas Liulevicius 1960

机译：二次同色学运算对循环功率的分解
7. Note on the cohomology of finite cyclic coverings [O] . Hara Yasuhiro, Kishimoto Daisuke 2013

机译：关于有限循环覆盖的同调性的注释
8. Atiyah-Singer Index Theorem, Cyclic Cohomology Chern Character, and Spectral Flow [R] . Ponge, R. S. 2002

机译：atiyah-singer指数定理，循环上同调Chern字符和谱流

Note on the cohomology of finite cyclic coverings

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