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arXiv · 1905.02093

String$\mathbf{^c}$ Structures and Modular Invariants

Haibao Duan·Fei Han·Ruizhi Huang
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Abstract

In this paper, we study some algebraic topology aspects of String$^c$ structures, more precisely, from the perspective of Whitehead tower and the perspective of the loop group of $Spin^c(n)$. We also extend the generalized Witten genera constructed for the first time in \cite{CHZ11} to correspond to String$^c$ structures of various levels and give vanishing results for them.

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Haibao Duan, Fei Han, Ruizhi Huang. 2019-05-06. String$\mathbf{^c}$ Structures and Modular Invariants. https://arxiv.org/abs/1905.02093

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