„Achoo!” “阿嚏！” Zhongshan's international villa, sits in own study room, is taking to set pen to paper before the desk writes anything's Lu Zhou, sneezing of no omen. 中山国际的别墅,坐在自己书房里,正拿着笔在书桌前写着些什么的陆舟,毫无预兆的打了个喷嚏。 Small 小 Said. 说. „Who is keeping thinking about me......” “又是谁在惦记我……” Attracted the nose, thought aloud that whispered, Lu Zhou continued to look at front scratch paper, the ball pen on hand ignited on the table gently. 吸了吸鼻子,自言自语地嘀咕了一句,陆舟继续将目光投向了面前的草稿纸,手上的圆珠笔在桌上轻轻点着。 „A little difficulty.” “有点难度啊。” 【......, when n is bigger than 2 : 00 two n-dimensional duplicate/restores to hand over x ^ n ( d completely), x ^ n( D ‚) diffeomorphism, when only when their euler numbers, entire number of times and pontrjagin kind equal.】 【……当n大于二时两个n维复完全交x^n(d),x^n(d‘)微分同胚,当且仅当它们的euler数、全次数和pontrjagin类都相等。】 The strict sense, this is not a complex analysis issue, is not a partial differential equation issue in the traditional sense, but is one very interesting classified issue about smooth manifold. 严格意义上来讲,这不是一个复分析问题,也不是一个传统意义上的偏微分方程问题,而是一个很有意思的关于光滑流形的分类问题。 This view may be somewhat incoherent, but in the differential topology, this is actually one also calculates in fact the popular research direction, mainly studies invariable nature of the differential manifold under the diffeomorphism mapping. 这个说法或许有些拗口,但事实上在微分拓扑学中,这却是一个还算热门的研究方向,主要研究微分流形在微分同胚映射下不变的性质。 However what is somewhat troublesome, although Lu Zhou has the research to the differential manifold and analysis situs very much, but regarding differential topology math branch research are not many. 不过有些麻烦的是,虽然陆舟对微分流形和拓扑学都很有研究,但对于微分拓扑学这个数学分支研究的却并不多。 Even can say, this to him is completely an entirely new domain. 甚至于可以说,这对他来说完全是一个全新的领域。 However will have such situation is also indisputable, what after all this Professor Chen Yang studies is the Hodge conjecture, with the Riemann hypothesis that he studies is two entirely different issues. 不过会出现这样的情况也无可厚非,毕竟这位陈阳教授研究的是霍奇猜想,和他研究的黎曼猜想原本就是两个截然不同的问题。 Because the ultra elliptic curve analytic method can be improved the promoted scope of utilization Riemann surface exactly to Kesey Riemann equation as well as studies, therefore triggered his association to this issue...... 只是因为超椭圆曲线分析法恰好能够被改进运用对柯西-黎曼方程以及黎曼面的推广面进行研究,所以才由此引发了他对这个问题的联想…… „Really feels embarrassed my fat tiger...... to put simply, no matter considers as finished?” “真是为难我胖虎啊……要不要干脆放着不管算了呢？” Thought deeply about a while, Lu Zhou shook the head, finally expelled the brain the thought that this did not make every effort to succeed. 思索了一会儿,陆舟摇了摇头,最终还是将这个不争气的念头赶出了大脑。 Whom not to mention reached an agreement to compare first to make this result, even if has not installed this compelling, gave up facing the difficult problem is not his style. 且不说说好了比一比谁先弄出来这个结果,就算没有装这个逼,面对难题临阵放弃也不是他的风格。 Even the differential topology is not his research direction, but is relying on him to the understanding of differential manifold as well as analysis situs theory, is familiar with this domain research main point to have no too major problem fast. 就算微分拓扑学不是他的研究方向,但凭借着他对微分流形以及拓扑学理论的理解,快速熟悉这个领域的研究要点还是没什么太大问题的。 Let alone the research of just right present Riemann hypothesis also fell into the bottleneck, with it , on a road that takes does not pass dies to knock, periphery might as well try to raise the head to have a look at and not other noteworthy clues. 更何况正好现在黎曼猜想的研究也陷入了瓶颈,与其在一条走不通的路上死磕,不如试着抬头看看周围与没有其他值得注意的线索。 If can builds the bridge between the analysis situs issues and complex analysis issues, said that does not permit his ultra elliptic curve analytic method to be able to display the effect on the research of Riemann zeta function in...... 如果能够在拓扑学问题和复分析问题之间架起桥梁,说不准他的超椭圆曲线分析法就能在对黎曼zeta函数的研究上发挥出奇效…… „Xiao Ai, helping me make cup of coffee to come, does not sweeten!” “小艾,帮我泡杯咖啡过来,不加糖的！” Xiao Ai: 【 Didn't master, the instant coffee need to sweeten?( 小艾:【主人,速溶咖啡本来就不用加糖呀？( …… …… …… …… „...... suo , helping me make cup of coffee to come in brief.” “……嗦,总之帮我泡杯咖啡过来。” 【Good, good master!( *)】 【好,好的主人！(・・*)】 The unmanned aerial vehicle fluttered from the bookshelf, wu wu flew outside the study room. 无人机从书架上飘了起来,呜呜地飞去了书房外面。 Abandoned the distracting thoughts in heart, Lu Zhou the complete attention, centralized on front scratch paper. 抛开了心中的杂念,陆舟将全部的注意力,都集中在了面前的这张草稿纸上。 The thumb withstand/top was taking away the pen lid, he used to write down the first line of writing on the paper. 拇指顶开了扣着的笔盖,他用笔在纸上写下了第一行文字。 【Made f1,......, fr was about variable z0,......, zn + r the homogeneous polynomial of duplicate/restores coefficient. This group of multinomials defined a duplicate/restores algebraic manifold in the duplicate/restores projective space p ^ ( n + r ) x......】 【令f1,……,fr为关于变量z0,……,zn+r的复系数的齐次多项式。这组多项式在复射影空间p^(n+r)中定义了一个复代数簇x……】 【This time x is called one duplicate/restores to hand over completely, if x duplicate/restores dimensions are n, when x is smooth manifold, is called smoothly duplicate/restores hands over completely, at this time x was a 2 n-dimensional smoothness shuts manifold......】 【此时x称为一个复完全交,若x的复维数为n,当x是光滑流形时,则称为光滑复完全交,这时x是一个二n维的光滑闭流形……】 First step has handled. 第一步已经搞定。 In the eye of Lu Zhou is glittering slightly the exciting ray. 陆舟的眼中微微闪烁着兴奋的光芒。 Although this feeling is very weak, but his very obvious premonitions, that had then found a correct path to labyrinth end point. 虽然这种感觉很微弱,但他有一种很明显的预感,那便是自己已经找到了一条通往迷宫终点的正确道路。 „Takes 2 n-dimensional smoothness to shut the manifold for the breakthrough point, establishes the connection in the duplicate/restores projective space......” “以二n维的光滑闭流形为切入点,在复射影空间上建立关联……” Once in the thought opened a breach, but galloping the inspiration then gushes out like the flood, keeps off cannot block. 思维上一旦打开了一道突破口,奔腾而出的灵感便如洪水般涌出,挡也挡不住。 All various professions like note mathematical formula, in his writing such as flows rapidly the restless rivers and streams to fall in torrents, on the quick whole piece scratch paper already fills up by the dense and numerous operators and digit. 一行行如同音符般的算式在他的笔下如奔流不息的江河般倾泻而下,很快一整张草稿纸上已经被密密麻麻的算符和数字填满。 Time one minute one second of past, piled writing all over the manuscript paper on table are getting more and more. 时间一分一秒的过去,堆在桌上的写满的稿纸越来越多。 Lies Xiao Ai on bookshelf, mew mew is peeping in side quietly. Since Lu Zhou forbids it casually to operate the camera randomly, only then on the unmanned aerial vehicle this camera it can freely use. 趴在书架上的小艾,就这么悄咪咪地在旁边偷看着。自从陆舟禁止它随便乱开摄像头之后,只有无人机上这个摄像头它能够自由使用了。 Although looks that the master such laborious appearance a little loves dearly, but this creative work, it really cannot help only. 虽然看着主人这么辛苦的样子有点儿心疼,但唯独这种创造性的工作,它实在是帮不上什么忙。 The weather of out of the window faded out gradually. 窗外的天色渐渐暗了下来。 Bent down Lu Zhou before table besides putting out a hand under the desk lamp of table corner, then again not other movements besides computation. 伏在桌前的陆舟除了伸手开了下桌角的台灯之外,便再也没有除了计算之外的其他动作。 However, the situation has not as if developed in a more optimistic direction. 然而,情况似乎并没有向着更乐观的方向发展。 As the weather of out of the window is gradually dim, not only that originally smooth tip gradually slow, beads of sweat also gradually before the Lu Zhou volume seeps out. 随着窗外的天色逐渐昏暗,不但那原本流畅的笔锋渐渐迟缓了起来,一颗颗汗珠也渐渐从陆舟的额前渗出。 Situation he has not as if imagined is so optimistic. 情况似乎并没有他想象中的那么乐观。 More profoundly studies in this issue, he is the discovery, actually hidden to have complex how in this issue back labyrinth. 越是深入研究到这个问题中,他便越是发现,隐藏在这个问题背后的迷宫究竟有多么的复杂。 „...... really is difficult to do!” “啊啊啊……真特么难搞！” Does not know that several time was entered the impasse, finally was the Lu Zhou instantaneous incarnation hot tempered brother of being able to calm down, calculates half could not have calculated the scratch paper that rubbed one group, made an effort to fall in nearby basket. 不知是第几次走进了死胡同,终于是沉不住气的陆舟瞬间化身暴躁老哥,将算到一半已经算不下去的草稿纸揉成了一团,使劲摔进了旁边的纸篓里。 „Not Right!, if the proposition establishes, was insufficient me to think for a long time could not have thought......” “不对啊！如果命题是成立的,不至于我想了这么久还想不出来……” The ball pen revolutions in hand is quicker, gently deeply frowning Lu Zhou stares at the initial that issue stubbornly, the lip is opening and closing is reading. 手中的圆珠笔越转越快,眉头紧锁的陆舟死死地盯着最初的那个问题,嘴唇轻轻开合的念着。 „What is strange, could not prove the proposition was wrong......, regardless had many group of parameters to go, can obtain with the result that the proposition accorded.” “但奇怪的是,偏偏又证明不了命题是错的……无论带多少组参数进去,都能得出与命题吻合的结果。” Long exhales, Lu Zhou pressed firmly between the fingers transferred pen fast, opened the computer that placed the table corner, registered in the document database, input several lines of keywords. 长出了一口气,陆舟一把捏住了转得飞快的笔,打开了放在桌角的电脑,登录到了文献数据库中,输入了几行关键词。 The paper that rows of retrieve, appears in his front quickly. 一排排检索到的论文,很快出现在他的面前。 After selecting several labels, according to quotation sorts, Lu Zhou picks up several top several papers quickly. 选中了几个标签之后,按照引用次数进行排序,陆舟很快挑出几篇排名前几的论文。 „...... Such interesting issue impossible no one to have studied.” “……这么有意思的问题不可能没有人研究过。” „At least should be able to find similarly.” “至少应该能找到类似的。” The mouth is reading gently, on the eye of this time Lu Zhou suddenly one bright, caught one line of interesting titles from the boundless database keenly. 嘴里轻轻念着,就这时候陆舟的眼睛忽然一亮,从茫茫的数据库中敏锐地捕捉到了一行有趣的标题。 The author of paper is Professor Craik ( krek ), in partial differential equation as well as analysis situs domain famous big cow, but this paper was he publishes in 1999 in a «Math Yearly journal» on paper, was quoted the number of times a little to be high. 论文的作者是克雷克(krek)教授,在偏微分方程以及拓扑学领域有名的大牛,而这篇论文是他于1999年刊登在《数学年刊》上的一篇论文,被引用次数还有点高。 According to the description of its abstract part, this paper main contents were made the improvement to the surgery theory, and transformed the issue of manifold classification as certain with the estimation problem of side group. 根据其摘要部分的描述,这篇论文主要内容是对surgery理论做出了改进,并且将流形分类的问题转化为某些配边群的计算问题。 In the eye appeared gradually a being interested appearance, Lu Zhou quick downloaded this paper, and looked one after another following the textual material of paper. 眼中渐渐浮现了一丝感兴趣的神采,陆舟很快将这篇论文下载了下来,并且顺着论文的正文部分一行一行看去。 Roughly crossed for dozen minutes, when he sees the paper carefully finally, in the eye that wiped the look that was interested to change to the exciting appearance immediately. 约莫过了十几分钟,当他将论文仔细看到最后,眼中那抹感兴趣的神色顿时化作了兴奋的神采。 „Is it!” “就是它！” „I said that such before interesting issue is definitely impossible, completely no one studies...... at least definitely some people to study similar topic!” “我就说嘛,这么有意思的问题肯定不可能以前完全没有人研究过……至少肯定有人研究过类似的课题！” „If can transform the issue of manifold classification as certain with the computation of side group...... mother, this is the last puzzle that I lack!” “如果能够将流形分类的问题转化为某些配边群的计算……妈耶,这正是我所缺的最后一块拼图！” Stands up from the chair excitedly, arrives at waste basket nearby Lu Zhou, turned out previously to be rubbed one group of that scratch papers from inside by him quickly. 兴奋地从椅子上站起身来,走到废纸篓旁边的陆舟,很快从里面翻出了先前被他揉成一团的那篇草稿纸。 „Fortunately rubs a little wrinkles, has not torn into shreds!” “还好只是揉的有点皱,没有撕碎掉！” Thinking aloud, Lu Zhou pinched this scratch paper to return on the chair to sit down, flattened the scratch paper in hand on the table, in the eye renewed the raging flame fighting spirit. 自言自语着,陆舟捏着这张草稿纸重新回到了椅子上坐下,将手中的草稿纸铺平在桌上,眼中重新燃起了熊熊烈火般的斗志。 „Must start!” “要开始了！”