Anomaly cancellation formulas and E_8 bundles for almost complex manifolds
Differential Geometry
2024-03-19 v1
Abstract
In this paper, we extend the elliptic genus in [10] by the gauge group E_8 and the gauge group E_8*E_8. Then we prove that the generalized elliptic genus are the weak Jacobi forms. Using these elliptic genus, we obtain some SL_2(Z) modular forms and get some new anomaly cancellation formulas of characteristic forms for almost complex manifolds.
Cite
@article{arxiv.2403.10765,
title = {Anomaly cancellation formulas and E_8 bundles for almost complex manifolds},
author = {Siyao Liu and Yong Wang},
journal= {arXiv preprint arXiv:2403.10765},
year = {2024}
}
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26 pages