Log BPS Numbers of Log Calabi-Yau Surfaces
Log BPS Numbers of Log Calabi-Yau Surfaces
复制标题
Log Calabi-Yau 表面的 Log BPS 数
DOI：
10.1090/tran/8234
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发表时间：
2020
影响因子：
1.3
通讯作者：
and Takahashi, N
中科院分区：
文献类型：
--
作者：
Choi, J;van Garrel, M;Katz, S;and Takahashi, N
设为具有光滑因子的对数Calabi-Yau曲面对。我们在[1]中定义了新的猜想整值-曲线计数。这些对数BPS数是由最大相切的亏格0log Gromov-Witten不变量通过一个类似于圆盘计数的多重覆盖公式得到的。对于直到2的算术亏格的Del Pezzo曲面和曲线类，描述并证明了亏格0的局部BPS数的一个猜想关系。我们陈述了一些猜想并提供了计算证据。参考文献
Letbe a log Calabi-Yau surface pair witha smooth divisor. We define new conjecturally integer-valued counts of-curves in. These log BPS numbers are derived from genus 0 log Gromov-Witten invariants of maximal tangency alongvia a formula analogous to the multiple cover formula for disk counts. A conjectural relationship to genus 0 local BPS numbers is described and verified for del Pezzo surfaces and curve classes of arithmetic genus up to 2. We state a number of conjectures and provide computational evidence. References