Genuine C_n-equivariant TMF

2025/10/27 by Lin, Ying-Hsuan, Tominaga, Akira, Yamashita, Mayuko
#Algebraic Topology (math.AT) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.2510.23602

Abstract

We determine the TMF-module structures of the genuine C₂-equivariant TMF with RO(C₂)-gradings and of the C₃-equivariant TMF. Moreover, we propose a general strategy for studying C_n-equivariant TMF via U(1)-equivariant TMF and a duality phenomenon in equivariant TMF.

Citations

• Topological Elliptic Genera I -- The mathematical foundation
• On equivariant topological modular forms
• Completed K-theory and Equivariant Elliptic Cohomology
• Graded rings of integral Jacobi forms
• Power operations in orbifold Tate K-theory
• Quantum Black Holes, Wall Crossing, and Mock Modular Forms
• Twists of K-theory and TMF
• Elliptic genus of Calabi-Yau manifolds and Jacobi and Siegel modular forms

Related

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