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arXiv 1804.06552math.AG
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量子K理论中的水平结构与模拟θ函数

The level structure in quantum K-theory and mock theta functions

Yongbin Ruan, Ming Zhang

备注：
There was a gap in the previous proof of the mirror theorem using the wall-crossing approach. We rewrote Section 4 and prove the toric mirror theorems using the adelic characterization developed by Givental-Tonita; additional changes to Section 2.3 (properties of the level structure); typos fixed; some references added
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摘要：

这是第一次在一系列的文件，以发展理论的水平在量子K理论和研究其应用。本文的主要结果是具有水平结构的置换等变量子K理论的复曲面镜定理。在一些最简单的例子中，我们看到了Ramanujan的模拟θ函数令人惊讶的出现。

英文摘要：

This is the first in a sequence of papers to develop the theory of levels in quantum K-theory and study its applications. Our main results in this paper are toric mirror theorems for permutation-equivariant quantum K-theory with level structure. In some of the simplest examples, we see the surprising appearance of Ramanujan's mock theta functions.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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