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.