On equivariant topological modular forms

被引：4

作者：

Gepner, David ^{[1
]}

Meier, Lennart ^{[2
]}

机构：

[1] Johns Hopkins Univ, Dept Math, 404 Krieger Hall,3400 N Charles St, Baltimore, MD 21218 USA

[2] Univ Utrecht, Budapestlaan 6, NL-3584 CD Utrecht, Netherlands

来源：

COMPOSITIO MATHEMATICA | 2023年 / 159卷 / 12期

基金：

英国工程与自然科学研究理事会;

关键词：

equivariant homotopy theory; elliptic cohomology; topological modular forms; orbispaces; ELLIPTIC COHOMOLOGY; HOMOTOPY-THEORY; WITTEN GENUS; K-THEORY; HOMOLOGY; FUNCTORS; THEOREM; MODELS;

D O I：

10.1112/S0010437X23007509

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Following ideas of Lurie, we give a general construction of equivariant elliptic cohomology without restriction to characteristic zero. Specializing to the universal elliptic curve we obtain, in particular, equivariant spectra of topological modular forms. We compute the fixed points of these spectra for the circle group and more generally for tori.

引用

页码：2638 / 2693

页数：57

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