4 球体的准椭圆同调

arXiv - MATH - Algebraic Topology Pub Date : 2024-08-05 DOI:arxiv-2408.02278

Zhen Huan

{"title":"4 球体的准椭圆同调","authors":"Zhen Huan","doi":"arxiv-2408.02278","DOIUrl":null,"url":null,"abstract":"Quasi-elliptic cohomology is conjectured by Sati and Schreiber as a\nparticularly suitable approximation to equivariant 4-th Cohomotopy, which\nclassifies the charges carried by M-branes in M-theory in a way that is\nanalogous to the traditional idea that complex K-theory classifies the charges\nof D-branes in string theory. In this paper we compute quasi-elliptic\ncohomology of 4-spheres under the action by some finite subgroups that are the\nmost interesting isotropy groups where the M5-branes may sit.","PeriodicalId":501119,"journal":{"name":"arXiv - MATH - Algebraic Topology","volume":"26 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Quasi-elliptic cohomology of 4-spheres\",\"authors\":\"Zhen Huan\",\"doi\":\"arxiv-2408.02278\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Quasi-elliptic cohomology is conjectured by Sati and Schreiber as a\\nparticularly suitable approximation to equivariant 4-th Cohomotopy, which\\nclassifies the charges carried by M-branes in M-theory in a way that is\\nanalogous to the traditional idea that complex K-theory classifies the charges\\nof D-branes in string theory. In this paper we compute quasi-elliptic\\ncohomology of 4-spheres under the action by some finite subgroups that are the\\nmost interesting isotropy groups where the M5-branes may sit.\",\"PeriodicalId\":501119,\"journal\":{\"name\":\"arXiv - MATH - Algebraic Topology\",\"volume\":\"26 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-08-05\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - MATH - Algebraic Topology\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2408.02278\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Algebraic Topology","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2408.02278","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

准椭圆同调学（Quasi-elliptic cohomology）是萨提（Sati）和施雷伯（Schreiber）的猜想，它是等变 4-th 同调学（Equivariant 4-th Cohomotopy）的一个特别合适的近似，它将 M 理论中的 M 粒子所带的电荷进行了分类，这与复 K 理论将弦理论中的 D 粒子所带的电荷进行分类的传统观点类似。在本文中，我们计算了一些有限子群作用下 4 球的准椭圆全同调，这些有限子群是最有趣的等向群，M5-branes 可能就位于这些等向群中。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

Quasi-elliptic cohomology of 4-spheres

Quasi-elliptic cohomology is conjectured by Sati and Schreiber as a particularly suitable approximation to equivariant 4-th Cohomotopy, which classifies the charges carried by M-branes in M-theory in a way that is analogous to the traditional idea that complex K-theory classifies the charges of D-branes in string theory. In this paper we compute quasi-elliptic cohomology of 4-spheres under the action by some finite subgroups that are the most interesting isotropy groups where the M5-branes may sit.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

arXiv - MATH - Algebraic Topology

自引率

0.00%

发文量

期刊最新文献

Tensor triangular geometry of modules over the mod 2 Steenrod algebra Ring operads and symmetric bimonoidal categories Inferring hyperuniformity from local structures via persistent homology Computing the homology of universal covers via effective homology and discrete vector fields Geometric representation of cohomology classes for the Lie groups Spin(7) and Spin(8)