K(1)-local topological modular forms

• 成果类型: Article
• 署名作者: Laures, G
• 署名单位: Ruprecht Karls University Heidelberg
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-003-0355-y
• 发表日期: 2004
• 页码: 371-403
• 关键词: power operations; K-THEORY; lambda-rings; REPRESENTATIONS; localization; COHOMOLOGY; HOMOLOGY; Respect; SPECTRA

摘要

We construct the Witten orientation of the topological modular forms spectrum tmf in the K(1)-local setting by attaching E-infinity cells to the bordism theory MO(8). We also identify the KO-homology of tmf with the ring of divided congruences.