2024/12/19 by Yong Wang
Mathematics · #Advanced Algebra and Geometry #Advanced Operator Algebra Research #Algebra over a field #Anomaly (physics) #Computer science #Geometry and complex manifolds #Mathematics #Modular design #Modular form #Physics #Programming language #Pure mathematics
paper · pdf · doi:10.2140/pjm.2024.333.181
crossref issued 2024/12/19 · crossref published 2024/12/19 · crossref published-online 2024/12/19 · openalex publication_date 2024/12/19 · crossref created 2024/12/23 · crossref deposited 2024/12/23 · openalex created_date 2025/10/10 · crossref indexed 2026/07/30 · openalex updated_date 2026/07/31
Building on a kind of elliptic genus for almost complex manifolds introduced by Ping Li and its various properties established by him, we define a generalized elliptic genus where an extra complex bundle is involved.This generalized elliptic genus is a generalized Jacobi form.By this generalized Jacobi form, we can get some SL(2, ) modular forms.By these SL(2, ) modular forms, we get some interesting anomaly cancellation formulas for an almost complex manifold.As corollaries, we get some divisibility results of the holomorphic Euler characteristic number.