具有有理系数的推导Witt理论中的稳定操作与合作

arXiv: K-Theory and Homology Pub Date : 2015-04-19 DOI:10.2140/akt.2017.2.517

A. Ananyevskiy

{"title":"具有有理系数的推导Witt理论中的稳定操作与合作","authors":"A. Ananyevskiy","doi":"10.2140/akt.2017.2.517","DOIUrl":null,"url":null,"abstract":"The algebras of stable operations and cooperations in derived Witt theory with rational coefficients are computed and an additive description of cooperations in derived Witt theory is given. The answer is parallel to the well-known case of K-theory of real vector bundles in topology. In particular, we show that stable operations in derived Witt theory with rational coefficients are given by the values on the powers of Bott element.","PeriodicalId":309711,"journal":{"name":"arXiv: K-Theory and Homology","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2015-04-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"11","resultStr":"{\"title\":\"Stable operations and cooperations in derived Witt theory with rational coefficients\",\"authors\":\"A. Ananyevskiy\",\"doi\":\"10.2140/akt.2017.2.517\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The algebras of stable operations and cooperations in derived Witt theory with rational coefficients are computed and an additive description of cooperations in derived Witt theory is given. The answer is parallel to the well-known case of K-theory of real vector bundles in topology. In particular, we show that stable operations in derived Witt theory with rational coefficients are given by the values on the powers of Bott element.\",\"PeriodicalId\":309711,\"journal\":{\"name\":\"arXiv: K-Theory and Homology\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2015-04-19\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"11\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv: K-Theory and Homology\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.2140/akt.2017.2.517\",\"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: K-Theory and Homology","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2140/akt.2017.2.517","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 11

摘要

计算了导得有理系数Witt理论中稳定运算和合作的代数，给出了导得Witt理论中合作的加性描述。答案与著名的拓扑中实向量束的k理论类似。特别地，我们证明了具有有理系数的推导的Witt理论中的稳定运算是由Bott元素的幂值给出的。

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

Stable operations and cooperations in derived Witt theory with rational coefficients

The algebras of stable operations and cooperations in derived Witt theory with rational coefficients are computed and an additive description of cooperations in derived Witt theory is given. The answer is parallel to the well-known case of K-theory of real vector bundles in topology. In particular, we show that stable operations in derived Witt theory with rational coefficients are given by the values on the powers of Bott element.

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: K-Theory and Homology

自引率

0.00%

发文量

期刊最新文献

Homology and $K$-Theory of Torsion-Free Ample Groupoids and Smale Spaces An identification of the Baum-Connes and Davis-L\"uck assembly maps Algebraic K-theory of quasi-smooth blow-ups and cdh descent Note on linear relations in Galois cohomology and étale K-theory of curves Weibel’s conjecture for twisted K-theory