30th Annotated

http://owpdb.mfo.de/detail?photo_id=7484

This is a primary source and it is a phtotgraph, which was taken by Jacobs Konrad in Oberwolfach.

29th Annotated

http://www.aps-pub.com/proceedings/1511/151109.pdf

This image on the First page is Chern.

He sit on the chair and he is doing with some document and computer.

28th Annotated

http://www.math.columbia.edu/~woit/wordpress/?p=119

This website is Talking about the string theory.

The important source is The article also says that few theorists will give up on string theory when supersymmetry is not found at the LHC, with Witten interpreting this not as evidence that string theory is wrong, just that unfortunately it will be harder to get experimental evidence for it than he had hoped. String theorists in general seem to have trouble getting their minds around the idea that it is even possible the theory is wrong. 

27th Annotated

http://www.math.columbia.edu/~woit/wordpress/archives/000118.html

This website is talking about what he think and know with Chern. The important source is 

Some of his most important work concerned the topology and geometry of fiber bundles, and

its significance can be seen in the number of crucial ideas of this field that carry his name,

for instance: chern classes, the Chern character, Chern-Weil theory , the Chern-Simons secondary

 characteristic class.

26th Annotated

http://images.amazon.com/images/P/9810239467.01.LZZZZZZZ.jpg

This the picture of a book call Wolf Prize in Mathematics. This book is Edited by S S Chern and another person.

This image help me know what book he edited with and I can found more source in this book about him.

25th Annotated

http://www.ams.org/mathmedia/images/md-12-04-chern.jpg

I think it a very important source. I see he is sit on the chair and he cannot walk but his face look like

he still have somethings that he don't know, he is a hard work with math.It help me to know more about him.

24th Annotated

http://www.chinadaily.com.cn/english/doc/2004-12/03/xin_4012010401215691743521.jpg

This is the image of the Chern. I think the action of him is teaching people what he know of define.

It help me know more about this person.

23th Annotated

http://www.encyclopedia.com/doc/1E1-ChernSS.html

This website summary Chern's biography. The important source is Pioneered in the 19th cent. by Carl Friedrich Gauss in his studies of curves and surfaces, differential geometry received little attention among mathematicians until the 1930s and 40s, but Chern transformed this dormant branch of mathematics into a vibrant area of study.

22th Annotated

http://books.google.com/books?id=X7JiKjsJkbEC&printsec=frontcover&dq=chern#PPP8,M1

This book is call .

Chern is the editor of this book. he say When the Mathematical Sciences Reasearch Institute was started in the Fall of 1982, one of the programs was "non-linear partial differential equations". A seminar was organized whose audience aonsisted of graduate students of the University and mature mathematicians who are not experts in the field.

21th Annotated

http://books.google.com/books?id=bw4-P-Pm3FMC&printsec=frontcover&dq=shiing-shen+chern#PPP1,M1

This book is call:. It is writen by chern.

The unity given by the sybject matter makes it desirable to collect them here. It is hoped that the volumes will provide an important start to the scientist who wishes to learn what is going on in that part of mathematics called global analysis.

20th Annotated

http://books.google.com/books?id=_yToCIApCcgC&printsec=frontcover&dq=chern

This book is call <>.

This book describe Oue goal is to devise a Chern-Weil-type construction for compact,connected topological groups so as to refine,in just this sense,the algebraic-topological substitutes for all of the items mentioned above form the differential geometer's toolbox.

19th Annotated

http://books.google.com/books?id=3Wiv8a3U6r4C&pg=PA451&dq=chern+class#PPR14,M1

This book is call:<>.

here have a few sentence about Chern-Weil theory.they use two step to descirbe In Chern-Weil theory(for the case of principal bundles, where the structure group coincides with the fibre)they are constructed.

18th Annotated

http://books.google.com/books?id=5zQ9AFk1i4EC&printsec=frontcover&dq=chern+class#PPP7,M1

This book is call .

At the preface of the book describe the a part time of Chern's life.In 1946 SHING-SHEN CHERN,recently arrived at the Institute for Advabced Study from Kunming in southwestern China. defined characteristic classes for complexvector bundles.

17th Annotated

http://books.google.com/books?id=MU7GzR25rGQC&printsec=frontcover&dq=chern-simons+theory#PPP11,M1

This book is describe the Chern-Simons theory.

The key idea of this bookthat allowed the building of a bridge between topological string theory and Chern-Simons theory was the gauge theory/string theory correspondence. and those two theory is all about Chern.

16th Annotated

http://books.google.com/books?id=bw4-P-Pm3FMC&printsec=frontcover&dq=chern#PPP5,M1

This website is a book show on the internet call .

The preface page of this book is writen by Chern. This book is gorwing up during Chern be the professer of the University of the California. He and other mathematician doing together Because the editors thank the many people who made the institute and volumes possible.

state of Chern-Simon theory

http://golem.ph.utexas.edu/category/2008/02/states_of_chernsimons_theory.html

this website is describe the funtion and state of the Chern-Simon theory and it list a lot example with other people think about it.



In the thread L ∞ associated Bundles and Sections I started talking about how to compute the space of states of Chern-Simons theory using the L ∞-algebraic model for the Chern-Simons 2-gerbe with connection on BG that we describe in L ∞-connections and applications (pdf, blog, arXiv).

chern

http://www.universityofcalifornia.edu/senate/inmemoriam/shiingshenchern.htm

I think the improtant source of this is :
This important proof was the forerunner of other invariants which bear his name, Chern classes, Chern-Weil homomorphism and Chern-Simons invariants, which have become essential tools not only in differential geometry but in other areas of mathematics such as topology and algebraic geometry and also mathematical physics. A large part of modern algebraic geometry would not exist without Chern classes.

chern class

http://mathworld.wolfram.com/ChernClass.html


A gadget defined for complex vector bundles. The Chern classes of a complex
manifold are the Chern classes of its tangent bundle. The th Chern class is an obstruction to the existence of everywhere complex linearly independent vector fields on that vector bundle. The th Chern class is in the th cohomology group of the base space.

remakes Chern-Simon theory

http://arxiv.org/abs/0808.2507

Is a secondary source written by Daniel S. Freed
(Submitted on 19 Aug 2008 (v1), last revised 28 Oct 2008 (this version, v2)

This source tell us :In the late 1980s Witten used the Chern-Simons form of a connection to construct new invariants of 3-manifolds and knots, recovering in particular the Jones invariants.
it help us easy to understand what is useful to math.

The interview of chern

http://www.ams.org/notices/199807/chern.pdf

This is a article is based on an interview with Shiing Shen Chern conducted on march 4, 1998, by Allyn Jackson, with mathematical help from Dieter Kotschick.

In this article, chern was talking about the important work he did and a lot knowledge he think and he define. His main idea of the chern class is that you should do topology or global geometry in the complex case.The complex case has more structure and is in many ways simpler than the real case.

chern's book

http://www.wspc.com/books/mathematics/3812.htm

This book is writen by chern and other two Professor.

The book call LECTURES ON DIFFERENTIAL GEOMETRY

Is a translation of an authoritative introductory text based on a lecture series

delivered by the renowned differential geometer, Professor S S Chern in Beijing University in

1980. The original Chinese text, authored by Professor Chern and Professor Wei-Huan Chen.

He put a lot new appendix on the history and recent developments of differential geometry in

this book. And it hlep us to know what he leran and try to improve in his whole life.

chern's poem

math.cts.nthu.edu.tw/.../iccm2001/Chern.htm
Remove frame

This poem is writen by chern. Mean is

physics and geometry are one family.

Together and holding hands they roam to the limits of outer space.

Black hold and monopole exhaust the secret of myths;

Fiber and connections weave to interlace the roseate clouds.

Evolution equations describe solitions;

Dual curvatures defines instantons.

Surprisingly,Math,hasearned its rightful place for man and in sky.

Fondling flowers with a smile--just wish nothing is said.

it describe the relation of phsics and geometry by using chinese poem.