Strictly Commutative Complex Orientations of Tmf₁(N)

2021/08/06 by Dominik Absmeier, Absmeier, Dominik
Mathematics · #Homotopy and Cohomology in Algebraic Topology #Advanced Topics in Algebra #Advanced Algebra and Geometry

paper · pdf · doi:10.48550/arxiv.2108.03079

Abstract

We construct by adapting methods and results of Ando, Hopkins, Rezkand Wilson combined with results of Hopkins and Lawson strictly commu-tative complex orientations for the spectra of topological modular forms with level Γ₁(N).

Related

• Orientations and Topological Modular Forms with Level Structure
• Strictly commutative complex orientation theory
• Orientations and p-Adic Analysis
• The descent spectral sequence for topological modular forms
• The \mathbb C-motivic Adams-Novikov spectral sequence for topological modular forms