Chapter 931: Sullivan's Conjecture (Tue / Thu)

For most journals, editors do not necessarily have strong academic capabilities. They are mainly responsible for checking the format and word count of the paper, and then contacting professional reviewers for the manuscripts that have passed the review, and determine whether the paper is based on the reviewers' opinions. Able to pass the audit.
However this is only for most journals.
Periodicals such as "Annual Mathematics", founded by Princeton, a top mathematics institution, are generally editors of academic circles.
For example, former editor-in-chief Peter Sanak is a great scholar in the field of number theory, and the winner of the lifetime achievement award of the 14th Wolf Prize in Mathematics.
As the third editor-in-chief after Professor Peter Sanak, Professor Frakes, although a little weaker, is regarded as a scholar who has only recently emerged in recent years, but his ability is unquestionable. If it had not been over the age of forty, with its research results in the field of differential manifolds, there is still a little hope for the Fields Award.
Of course, the reason why the "Mathematics Yearbook" chose him as editor-in-chief was not entirely to his academic ability, but also had another factor to consider.
Because the research on controllable fusion is hot all over the world, even the research heat with plasma physics has risen. Due to the wonderful effects of the "l-manifold" in solving the ns equation and the problem of plasma turbulence a few years ago, the investment in scientific research in mathematics in various countries has increased the partial differential equation and differential manifold The resources are inclined to encourage domestic scholars to enter the research in these fields.
Although "Mathematics Yearbook" rarely keeps up with the hotspots, since the century lecture of Professor Lus on the ns equation, the entire field of partial differential equations and differential manifolds has indeed not produced any outstanding results, as if The entire research direction was the same as that of Dr. Lu being drained by himself.
Therefore, the choice of Professor Frakes as the editor-in-chief and the board of directors of the "Mathematics Yearbook" was made in consideration of supporting the research directions of partial differential equations and differential manifolds.
Generally speaking, when the editor-in-chief arranges a manuscript for submission, he or she has a certain tendency for manuscript submission ...
Princeton.
The editorial department of the Annual Mathematics.
Professor Frax, who is taking over from the previous editor in chief, has taken his students to the office and moved them to the editorial department, scrambling to handle a mountain of work.
Although the editor of the annual general mathematics doesn't take this job seriously, Frakes is different. Now he can only be regarded as a calf, especially in a place like Princeton, Crouching It can be said that there is no sense of existence.
Others may not care about their academic qualifications as editor-in-chief of the "Mathematics Yearbook", but he can't care less, so he attaches great importance to this job, and even to a certain extent, even suspends the subject he is doing. .
Sitting at a computer full of documents, a doctoral student with curly hair took a sip of coffee, his eyes staring at the screen suddenly glared, and he coughed as if choking.
"... Professor, cough! You have received a submission letter in your email!"
Being busy with the matter at hand, Professor Frakes didn't have time to look up at all, and said casually, "Help me print it out, and I'll take time to look at it when I have time."
"But ... the contributor is Lu Zhou."
The hand that was hitting the keyboard stopped abruptly, Professor Frakes stood up from the chair with a snoring noise, and walked quickly towards the doctoral student's desk.
"Computer for me!"
"Okay, okay ..."
When I got to the computer, Fricks checked each letter of the email address and confirmed that the manuscript was actually delivered by Professor Lu before downloading the pdf file attached to the email with interest.
"Let me see what interesting results Professor Lu has made ..."
One of the most direct benefits of being an editor of a well-known journal is to be able to know the amazing research results of those big cows for the first time.
With anticipation, Professor Frakes opened the paper just downloaded.
However, when he saw the content of the abstract, his eyes gradually changed from the previous excitement to a trace of disappointment.
He noticed the change in the mentor's expression, and let the curly doctor out of the seat whisper, "What's wrong?"
"It's not a novel research achievement, it's just a supplement to the theory of the hyperelliptic curve analysis method," Professor Frakes, who had read the abstract, shook his head and continued to say in a somewhat disappointed tone. It feels like, at least, nothing remarkable. "
The doctor continued to ask, "So ... Shall we reject the manuscript?"
"No," shook his head, Professor Frakes continued, "if it is not long and it is important enough, you can pass the manuscript ... In short, this trouble is left to the reviewer to worry about Well, it's offensive to draft manuscripts outside of peer review ... well, you can help me print the paper, and I will think about it carefully.
"Good professor."
The printer is purring.
The paper was soon printed on paper.
He returned to his seat while holding the paper with the temperature of the oil on it. Professor Frakes drank coffee and looked up at the main body of the paper while leaning his legs.
To be honest, after reading the abstract part, in fact, he no longer looks forward to the research results in this paper.
However, when he saw the third page, there was a sudden tap in his mouth.
"... when n is greater than 2, two n-dimensional complexes completely intersect xn (d), xn (d ') differential homeomorphisms, if and only if their euler number, full degree, and pontrjag class are equal ..."
"... how do I look so familiar with this inference?"
Not that familiar in the intuitive sense, but familiar in the understanding sense.
As if this inference, he had seen another representation of it in that place ...
He didn't see the citation mark next to him. Professor Frax's mind gradually raised a little doubt, then he sat up from the chair and picked up a ballpoint pen to count on the draft paper next to it.
But his brush strokes had just walked two lines on the paper, and he was there.
"..."
This, this line of expression!
Could it be ...
The pupil narrowed slightly, EbookFREE.me, and then zoomed in quickly, and Professor Frakes suddenly got up from his seat.
"Sullivan's guess !?"
This conjecture is a conjecture made by Professor Sullivan during his work on classifying simple connected manifolds and rational homotopy with limited uncertainty, which belongs to a class of smooth manifold classification problems.
At the same time, it is also one of the core problems in differential topology!
If you do not understand differential topology, it is normal to have not heard of this conjecture. After all, as a branch direction in the branch research of mathematics, this conjecture is very important for people engaged in this field, but it is far from being talked about. How well known.
And because of the difficulty, not many people have studied this topic. Even his calf in the field of differential topology has not been able to see at a glance that this stuff is actually just another form of expression.
However, it is a bit scary to be able to make such research results if you do not understand this conjecture at all, or even the branch of mathematics of differential topology.
Judging from the unquoted citation of this inference, it is clear that Professor Lu did not know that the line of inference he wrote in the dissertation was actually another form of expression of Sullivan's conjecture ...
Thinking of this, Professor Frax's face was full of shock, and even the fingers holding the paper were shaking gently.
Looking at the mentor who suddenly stood up and sat there, Dr. Curly, who was sitting at his desk not far away, thought that something had happened, and hurriedly asked, "What's wrong, professor?"
I don't know if I heard it, or if I didn't hear my students' questions at all.
With his gaze fixed on the thesis, Professor Frakes murmured in an excited tone.
"God……"
"We found Bom!"
.