2024/12/03 by Lin, Ying-Hsuan, Yamashita, Mayuko · 4 citations
#55N22 (Secondary) #55N34 (Primary) #55P91 #Algebraic Topology (math.AT) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph)
paper · doi:10.48550/arxiv.2412.02298
We construct \it Topological Elliptic Genera, homotopy-theoretic refinements of the elliptic genera for SU-manifolds and variants including the Witten-Landweber-Ochanine genus. The codomains are genuinely G-equivariant Topological Modular Forms developed by Gepner-Meier, twisted by G-representations. As the first installment of a series of articles on Topological Elliptic Genera, this issue lays the mathematical foundation and discusses immediate applications. Most notably, we deduce an interesting divisibility result for the Euler numbers of Sp-manifolds.