Irina Bobkova, P. G. Goerss, H. Henn, Viet-Cuong Pham, Vesna Stojanoska
{"title":"上同调","authors":"Irina Bobkova, P. G. Goerss, H. Henn, Viet-Cuong Pham, Vesna Stojanoska","doi":"10.1017/9781108692458.004","DOIUrl":null,"url":null,"abstract":". We compute the continuous cohomology of the Morava stabilizer group with coefficients in Morava E -theory, H ∗ ( G 2 , E t ), at p = 2, for 0 ≤ t < 12, using the Algebraic Duality Spectral Sequence. Furthermore, in that same range, we compute the d 3 -differentials in the homotopy fixed point spectral sequence for the K (2)-local sphere spectrum. These cohomology groups and differentials play a central role in K (2)-local stable homotopy theory, in particular for the analysis of the K (2)-local Picard group.","PeriodicalId":118579,"journal":{"name":"A Gentle Introduction to Homological Mirror Symmetry","volume":"20 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2021-08-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Cohomology\",\"authors\":\"Irina Bobkova, P. G. Goerss, H. Henn, Viet-Cuong Pham, Vesna Stojanoska\",\"doi\":\"10.1017/9781108692458.004\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". We compute the continuous cohomology of the Morava stabilizer group with coefficients in Morava E -theory, H ∗ ( G 2 , E t ), at p = 2, for 0 ≤ t < 12, using the Algebraic Duality Spectral Sequence. Furthermore, in that same range, we compute the d 3 -differentials in the homotopy fixed point spectral sequence for the K (2)-local sphere spectrum. These cohomology groups and differentials play a central role in K (2)-local stable homotopy theory, in particular for the analysis of the K (2)-local Picard group.\",\"PeriodicalId\":118579,\"journal\":{\"name\":\"A Gentle Introduction to Homological Mirror Symmetry\",\"volume\":\"20 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2021-08-31\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"A Gentle Introduction to Homological Mirror Symmetry\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1017/9781108692458.004\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"A Gentle Introduction to Homological Mirror Symmetry","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1017/9781108692458.004","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
摘要
． 利用代数对偶谱序列计算了Morava E -理论中具有系数的Morava稳定群在p = 2时H∗(g2, e2)的连续上同调。此外，在相同的范围内，我们计算了K(2)局部球谱在同伦不动点谱序列中的d3 -微分。这些上同调群和微分在K(2)-局部稳定同伦理论中起着核心作用，特别是在K(2)-局部Picard群的分析中。
. We compute the continuous cohomology of the Morava stabilizer group with coefficients in Morava E -theory, H ∗ ( G 2 , E t ), at p = 2, for 0 ≤ t < 12, using the Algebraic Duality Spectral Sequence. Furthermore, in that same range, we compute the d 3 -differentials in the homotopy fixed point spectral sequence for the K (2)-local sphere spectrum. These cohomology groups and differentials play a central role in K (2)-local stable homotopy theory, in particular for the analysis of the K (2)-local Picard group.
求助内容：
应助结果提醒方式：
京公网安备 11010802042870号
