加州大学Santa Cruz分校数学教授Andrey Todorov信件（译文）
关于卡拉比－丘流形模空间无阻碍性的证明历史，1980年 Bogomolov提出了证明典则类为零的簇的模空间无阻碍性的方法。他的论证非常漂亮，可是只对超凯勒情形有效。我从1986年开始研究卡拉比－丘流形模空间无阻碍性的问题。同年我在MPI公布了预印本。1986年12月，我收到田刚的来信，说他也发现了同样的公式，就是现在所称的Tian- Todorov公式。
1992年我到普林斯顿访问，遇到Nadal（萧荫堂的一个学生）。我从他那里得知，田刚是一个非常不诚实的人。他告诉我，田刚在写自己的那篇卡拉比－丘流形模空间之前，就知道了我所发表的预印本。Nadal告诉我他亲眼看到田刚在哈佛的时候，研读我的预印本。事实上，我的文章中包含了更多的结果。
Kazdan教授曾问我对于田刚的看法。我告诉他，田刚还算是个有能力的数学家。可是Kazdan却告诉我，田刚一生中从来没有证明过哪怕是一个未知的或不在预料之中的定理。
Andrey Todorov
The history about the proof that the moduli space of CY manifolds isunobstructed. In 1980 Bogomolov proposed a method how to prove thatthe moduli space of varieties with canonical class zero is unobstructed.His arguments are beautiful and work only for Hyper-Kahler. I startedto work on the problem that the moduli space of CY manifolds isunobstructed in 1986. The same year I published a preprint in MPI. InDecember of 1986 I received a letter from Tian stating that he haddiscovered the same formula, which now is called Tian-Todorov Lemma.
In 1992 during my visit to Princeton I met Nadal （a student ofYum-Tung）. He explained me that Tian is very dishonest person. He toldme that Tian knew about my preprint before he wrote the paper aboutthe moduli of CY. Nadal told me that he saw Tian to study my preprintin Harvard.
My paper contains more results. Unfortunately Cumrum Vafa and hisauthors called Tian gauge one of my observations in the paper. I toldCumrum about it and he put the reference to my MPI preprint of 1986 inhis paper with Bershadky, Cecotti and Ouguri.
Once Kazhdan asked me what I think about Tian. I told him that I thinkthat he is a capable mathematician. Then Kazdan told me that Tiannever in his life proved any Theorem that was not known or expected.
I found out that Robert Dijkgraaf refereed to my preprint of 1986 inhis Les Houses lectures on duality.
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