String$\mathbf{^c}$ Structures and Modular Invariants
Algebraic Topology
2020-09-21 v3 Differential Geometry
Geometric Topology
Abstract
In this paper, we study some algebraic topology aspects of String structures, more precisely, from the perspective of Whitehead tower and the perspective of the loop group of . We also extend the generalized Witten genera constructed for the first time in \cite{CHZ11} to correspond to String structures of various levels and give vanishing results for them.
Cite
@article{arxiv.1905.02093,
title = {String$\mathbf{^c}$ Structures and Modular Invariants},
author = {Haibao Duan and Fei Han and Ruizhi Huang},
journal= {arXiv preprint arXiv:1905.02093},
year = {2020}
}
Comments
41 pages; to appear in the Transactions of the American Mathematical Society