论文标题

量子$ k $ - 理论中的日志产品公式

The Log Product Formula in quantum $K$-theory

论文作者

Chou, You-Cheng, Herr, Leo, Lee, Yuan-Pin

论文摘要

我们证明了一种表达$ k $ - 理论日志gromov-witten的公式,该产品是$ v $ and $ v $和$ w $的log平滑品种$ v \ times w $的产品。该证明需要在$ k $理论中引入日志虚拟基本课程,并验证其各种功能属性。我们介绍了$ k $ - 理论的日志版本,并证明了那里的公式。

We prove a formula expressing the $K$-theoretic log Gromov-Witten invariants of a product of log smooth varieties $V \times W$ in terms of the invariants of $V$ and $W$. The proof requires introducing log virtual fundamental classes in $K$-theory and verifying their various functorial properties. We introduce a log version of $K$-theory and prove the formula there as well.

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