Rank DT theory from rank 1

Rank DT theory from rank 1
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从 1 级开始对 DT 理论进行排序

DOI:
10.1090/jams/1006
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发表时间:
2022
影响因子:
3.9
通讯作者:
Feyzbakhsh S
Feyzbakhsh S
中科院分区:
数学1区
文献类型:
--
作者:
Feyzbakhsh S

文献摘要

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修正一个满足Bayer-Macr\ ' i-Toda的Bogomolov-Gieseker猜想的Calabi-Yau 3-fold,如五次3-fold。我们用秩为1的列表示了任意秩的列计数Gieseker半稳定捆的Joyce广义DT不变量。根据MNOP猜想,它们由的Gromov-Witten不变量决定。
Fix a Calabi-Yau 3-foldsatisfying the Bogomolov-Gieseker conjecture of Bayer-Macr\`i-Toda, such as the quintic 3-fold. We express Joyce's generalised DT invariants counting Gieseker semistable sheaves of any rankonin terms of those counting sheaves of rank 1. By the MNOP conjecture they are therefore determined by the Gromov-Witten invariants of.