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COHOMOLOGY: 作品数：124被引量：100H指数：6; 导出分析报告; 相关领域：理学更多>>; 相关作者：王圣祥周建华杨森更多>>; 相关机构：东南大学滁州学院浙江大学更多>>; 相关期刊：《Chinese Physics Letters》《Peking Mathematical Journal》《Communications in Computational Physics》《Acta Mathematica Scientia》更多>>; 相关基金：国家自然科学基金国家重点基础研究发展计划中国博士后科学基金国家教育部博士点基金更多>>

Cohomology of Moduli Space of Cubic Fourfolds Ⅰ: 《Acta Mathematica Sinica,English Series》2023年第5期773-798,共26页Fei SI; Supported by NSFC grants for General Program (Grant No. 11771086);Key Program (Grant No. 11731004);National Key Research and Development Program of China (Grant No. 2020YFA0713200)。; In this paper we compute the cohomology of moduli space of cubic fourfolds with ADE type singularities relying on Kirwan’s blowup and Laza’s GIT construction. More precisely, we obtain the Betti numbers of Kirwan’s...; 关键词：Cubic fourfold Moduli space COHOMOLOGY

Restricted Cohomology of Restricted Lie Superalgebras被引量：1: 《Acta Mathematica Sinica,English Series》2022年第11期2115-2130,共16页Ji Xia YUAN Liang Yun CHEN Yan CAO; the National Natural Science Foundation of China(Grant Nos.11601135,11771069,11801121 and 12071405);Natural Science Foundation of Heilongjiang Province of China(Grant Nos.QC2017002 and QC2018006);Fundamental Research Funds for the Colleges and Universities in Heilongjiang Province(Grant No.2020-KYYWF-1018);Project funded by China Postdoctoral Science Foundation(Grant No.2018M630311)。; Suppose the ground field F is an algebraically closed field characteristic of p>2.In this paper,we investigate the restricted cohomology theory of restricted Lie superalgebras.Algebraic interpretations of low dimensio...; 关键词：Restricted Lie superalgebras restricted cohomology restricted model filiform Lie superalgebras

Some Results on Cohomology of Twisted Smash Coproduct: 《Acta Mathematica Sinica,English Series》2022年第8期1484-1492,共9页Ling JIA; Supported by the Natural Science Foundation of Shandong Provience(Grant No.ZR2012AL02)。; With the main motivation to present some alternatives to the cosemisimplicity of twisted Smash coproduct,this paper first gives some basic constructions which make sense to consider the derived functors of some left e...; 关键词：Twisted Smash coproduct bicomodule coalgebra Hopf algebra spectral sequence

The Bott-Chern and Aeppli Cohomologies of Complex Structures on S^(3)×S^(3)被引量：1: 《Acta Mathematica Sinica,English Series》2021年第4期581-587,共7页Jing Jing WANG; We calculate the dimensions of Bott–Chern and Aeppli cohomologies associated to a complex structure on S^(3)×S^(3).We express them in terms mainly of Hogde numbers.; 关键词：Complex structure S^(3)×S^(3) Bott–Chern cohomology Aeppli cohomology

Dirac Cohomology and Character Lifting: 《Acta Mathematica Sinica,English Series》2021年第4期525-537,共13页Jing Song HUANG; Supported by grants(Grant No.16303218)from Research Grant Council of HKSAR。; The endoscopic transfer factor is expressed as difference of characters for the even and odd parts of the spin modules,or Dirac index of the trivial representation.The lifting of tempered characters in terms of index ...; 关键词：Dirac cohomology Dirac series cubic Dirac operators endoscopic transfer character lifting

On Duality in Filtered Cohomologies: 《Acta Mathematica Sinica,English Series》2019年第5期597-608,共12页Hua Zhong KE; Supported by NSFC(Grant Nos.11521101 and 11601534); For a symplectic manifold(M^(2n), ω) without boundary(not necessarily compact), we prove Poincaré type duality in filtered cohomology rings of differential forms on M, and we use this result to obtain duality betwee...; 关键词：SYMPLECTIC MANIFOLDS filtered COHOMOLOGY Lefschetz MAP

Cohomology of the Universal Enveloping Algebras of Certain Bigraded Lie Algebras: 《Acta Mathematica Sinica,English Series》2018年第10期1611-1625,共15页Li Nan ZHONG Hao ZHAO Wen Huai SHEN; supported by NSFC(Grant Nos.11671154 and 11761072);General Financial Grant from the China Postdoctoral Science Foundation(Grant No.2017M622721); Let p be an odd prime and q = 2（p- 1）. Up to total degree t - s 〈 max（（5p^3 ＋ 6p^2 ＋6p ＋4）q- 10,p^4q}, the generators of H^s,t（U（L））, the cohomology of the universal enveloping algebra of a bigraded Lie a...; 关键词：Steenrod algebra Hopf algebra Lie algebra spectral sequence stable homotopy groups of sphere

Cohomology Theories in Triangulated Categories被引量：1: 《Acta Mathematica Sinica,English Series》2016年第11期1377-1390,共14页Wei REN Ren Yu ZHAO Zhong Kui LIU; Supported by National Natural Science Foundation of China(Grant Nos.11401476,11361052,11261050); Let C be a triangulated category with a proper class g of triangles. We prove that there exists an Avramov-Martsinkovsky type exact sequence in g, which connects ε-cohomology, ε-Tate cohomology and ε-Corenstein coh...; 关键词：Triangulated categories proper class of triangles cohomology theories

On the Deformation of Lie–Yamaguti Algebras被引量：6: 《Acta Mathematica Sinica,English Series》2015年第6期938-946,共9页Jie LIN Liang Yun CHEN Yao MA; Supported by NSFC(Grant Nos.11226054,11171055 and 11471090);Scientific Research Foundation of civil Aviation University of China(Grant No.09QD08X);Fundamental Research Funds for the Central Universities(Grant No.3122014K011);Natural Science Foundation of Jilin province(Grant No.201115006);Scientific Research Foundation for Returned Scholar Ministry of Education of China; The deformation theory of Lie-Yamaguti algebras is developed by choosing a suitable cohomology. The relationship between the deformation and the obstruction of Lie-Yamaguti algebras is obtained.; 关键词：Lie-Yamaguti algebra algebraic deformation COHOMOLOGY

A Quantum Modification of Relative Chen–Ruan Cohomology: 《Acta Mathematica Sinica,English Series》2015年第2期225-254,共30页Cheng Yong DU Bo Hui CHEN; supported by National Natural Science Foundation of China(Grant Nos.11071173 and 11221101); In this paper, by using the de Rham model of Chen-Ruan cohomology, we define the relative Chen-Ruan cohomology ring for a pair of almost complex orbifold （G, H） with H being an almost sub-orbifold of G. Then we use ...; 关键词：de Rham model relative Chen-Ruan cohomology relative orbifold quantum cohomology

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