2000 character limit reached
Topological Elliptic Genera I -- The mathematical foundation (2412.02298v2)
Published 3 Dec 2024 in math.AT, hep-th, math-ph, and math.MP
Abstract: 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.
Collections
Sign up for free to add this paper to one or more collections.
