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

preprint2020arXivOpen access

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

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Stringc\mathbf{^c}c Structures and Modular Invariants

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