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國際頂尖數學家唐納森教授等再揭田剛學術剽竊
作者：東閒
近日倫敦皇家學院首席教授唐納森，美國紐約石溪大學教授陳秀雄等學者聯
名公開發文，揭露田剛的又一起剽竊醜聞。唐納森是國際頂尖數學家，曾獲得菲
爾茲獎、克勞福特獎、邵逸夫數學獎等眾多國際數學最高獎。陳秀雄是國際著名
幾何學家，曾在國際數學家大會上做過邀請報告。
文章以十頁的篇幅逐條列舉了田剛在長達1年多時間裡多次抄襲、公然搶奪
唐納森教授等學術成果的來龍去脈。事實清楚，證據確鑿。唐納森教授作為國際
頂尖學者，髮長文公開指責田剛抄襲，說明事態已經到了非常嚴重的程度。
這已經不是田剛第一次被揭發學術不端了。國際頂尖數學家丘成桐，蕭蔭堂
等都曾多次指出田剛自從讀博士起就存在剽竊、誇大等學術不端行為。
唐納森教授等文章鏈接
Xiuxiong Chen, Simon Donaldson, Song Sun
September 19, 2013
http://www2.imperial.ac.uk/~skdona/KEDEVELOPMENTS-9-19-2013.PDF
部分原文摘錄（附中文翻譯供參考）
Gang Tian has made claims to credit for these results. The purpose of
this document is to rebut these claims on the grounds of originality,
priority and correctness of the mathematical arguments. We acknowledge
Tian's many contributions to this field in the past and, partly for
this reason, we have avoided raising our objections publicly over the
last 15 months, but it seems now that this is the course we have to
take in order to document the facts. In addition, this seems to us the
responsible action to take and one we owe to our colleagues,
especially those affected by these developments.
田剛聲稱他也得到了這些結果。本文的目的在於通過對原創性，優先權和論證正
確性的分析駁斥田的聲明。我們認可田過去在這個領域的諸多貢獻，也正是由於
這個原因，在過去15個月中，我們努力避免公開提出我們的反對意見。但是事態
的發展迫使我們認識到，這是還原事件真相的必由之舉。我們覺得這也是我們對
學術界必須承擔的責任，特別是對受到這些事件發展影響的同行。
---------
In sum, our fundamental objections to Tian’s claim over the partial
C^0 estimate are:
- It seems to us highly improbable that Tian independently came on the
proof, involving exactly the same ideas, in the short time interval
(roughly April-June 2012) in question. Here we have in mind that, as
noted above, the techniques which underpin the proof have been
available for ten years or more.
- Even given that it is not impossible that such a coincidence occurred,
we have clear priority in the presentation of both outline and
detailed proofs.
- Even after 15 months from the appearance of Donaldson and Sun's
paper [2] to the date of this writing, Tian has not produced a
convincing complete proof of this result.
總而言之，我們對于田剛聲稱得到偏C^0估計的反對意見如下：
- 我們認為田獨立得到這個證明幾乎不可能，他用到和我們同樣的思想，而且是
在很短的時間內（大約在2013年4月至6月期間）。要知道，如上所述，我們所用
到的證明技巧已經存在了10年以上。
- 即使這種巧合併非完全不可能，無論在證明的概述和還是細節的公開我們都明
顯占先。
- 即使在唐納森和孫的文章[2]公開15個月以後，田都沒有對這一結果給出一個
完整的證明。
-----------
Our fundamental objections to Tian's claims with respect to Yau's
conjecture are:
- that we feel that there is no evidence that Tian was in possession
of anything approaching a complete proof at the time of his
announcement [6] in Stony Brook;
- that both arXiv versions [11], [12] of his paper have serious gaps
and mistakes;
- that, insofar as these gaps and mistakes have been partially filled
and corrected (in comparing [11], [12], [13]), many of the changes and
additions made reproduce ideas and techniques that we had previously
introduced in our publicly available work [7], [8], [9], 10], without
any kind of acknowledgement. We will not attempt to take up every
single gap and mistake that we see in Tian's proposed proofs
(including the necessity of checking carefully the relevant results of
Jeffres, Mazzeo and Rubinstein, noted above), but concentrate on three
points in the subsections 3.1,3.2,3.3 below.
我們對于田所聲稱的關於丘猜想的證明的反駁如下：
- 我們認為沒有任何證據表明，田在石溪報告[6]公開聲明時知曉任何可以給出
完全證明的途徑。
- 他的arXiv文章[11], [12]存在嚴重的漏洞和錯誤
- 目前這些錯漏部分的得到了修補（比較田的文章[11], [12], [13]），許多這
些修改和增補複製仿造了我們之前公開的文章[7], [8], [9]中的想法和技巧，
並無任何的出處說明。我們不試圖指出田聲稱的證明中的每一個漏洞和錯誤（包
括仔細驗證Jeffres, Mazzeo and Rubinstein等人相關結果的必要性）， 我們
將3.1, 3.2, 3,3小節中專注討論三個要點。
--------------
These assertions are blatant copying without attribution. This is
almost half a year since the appearance of our third paper [10], in
which the detailed proof of the reductivity is provided, based on the
uniqueness theorems proved by Berndtsson and
Berman-Boucksom-Essydieux-Guedj-Zeriahi, and the technical difficulty
in extending the usual proof of the Matsushima theorem is pointed out.
（田的文章中的）這些結論是明顯的直接拷貝，而沒有任何的指明出處。這已經
是我們第三篇文章[10]公開半年以後，其中給出了可約性的詳細證明，基於
Berndtsson 和 Berman-Boucksom-Essydieux-Guedj-Zeriahi等人的唯一性定理。
並且指出了推廣Matsushima 定理通常證明的技術上的困難。
(XYS20131123)
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