弯矩图扭曲纤摇的一个Riemann-Roch型定理

IF 0.8 4区数学 Q2 MATHEMATICS

Arkiv for Matematik Pub Date : 2020-02-23 DOI:10.4310/arkiv.2021.v59.n2.a6

M. Lanini, K. Zainoulline

{"title":"弯矩图扭曲纤摇的一个Riemann-Roch型定理","authors":"M. Lanini, K. Zainoulline","doi":"10.4310/arkiv.2021.v59.n2.a6","DOIUrl":null,"url":null,"abstract":"In the present paper we extend the Riemann-Roch formalism to structure algebras of moment graphs. We introduce and study the Chern character and pushforwards for twisted fibrations of moment graphs. We prove an analogue of the Riemann-Roch theorem for moment graphs. As an application, we obtain the Riemann-Roch type theorem for equivariant $K$-theory of some Kac-Moody flag varieties.","PeriodicalId":55569,"journal":{"name":"Arkiv for Matematik","volume":"1 1","pages":""},"PeriodicalIF":0.8000,"publicationDate":"2020-02-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"A Riemann–Roch type theorem for twisted fibrations of moment graphs\",\"authors\":\"M. Lanini, K. Zainoulline\",\"doi\":\"10.4310/arkiv.2021.v59.n2.a6\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In the present paper we extend the Riemann-Roch formalism to structure algebras of moment graphs. We introduce and study the Chern character and pushforwards for twisted fibrations of moment graphs. We prove an analogue of the Riemann-Roch theorem for moment graphs. As an application, we obtain the Riemann-Roch type theorem for equivariant $K$-theory of some Kac-Moody flag varieties.\",\"PeriodicalId\":55569,\"journal\":{\"name\":\"Arkiv for Matematik\",\"volume\":\"1 1\",\"pages\":\"\"},\"PeriodicalIF\":0.8000,\"publicationDate\":\"2020-02-23\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Arkiv for Matematik\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.4310/arkiv.2021.v59.n2.a6\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Arkiv for Matematik","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.4310/arkiv.2021.v59.n2.a6","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 1

摘要

本文将Riemann-Roch形式主义推广到矩图的结构代数。介绍和研究了弯矩图的扭曲振动的陈氏性质，并对其进行了推进。我们证明了矩图的黎曼-洛克定理的一个类似情形。作为应用，我们得到了一些Kac-Moody旗变的等变K理论的Riemann-Roch型定理。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

A Riemann–Roch type theorem for twisted fibrations of moment graphs

In the present paper we extend the Riemann-Roch formalism to structure algebras of moment graphs. We introduce and study the Chern character and pushforwards for twisted fibrations of moment graphs. We prove an analogue of the Riemann-Roch theorem for moment graphs. As an application, we obtain the Riemann-Roch type theorem for equivariant $K$-theory of some Kac-Moody flag varieties.

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