| 查看: 629 | 回复: 4 | ||
| 【奖励】 本帖被评价4次，作者zhq025增加金币 3.5 个 | ||
| 当前主题已经存档。 | ||
[资源]
Introduction to topological quantum field theory
|
||
|
Introduction A topological quantum field theory (TQFT) is an, almost, metric independent quantum field theory that gives rise to topological invariants of the background manifold. The most well known example of a 3-dimensional TQFT is Chern-Simons-Witten theory, in which the expectation value of an observable, obtained as the product of the Wilson loops associated with a link, is the generalised Jones invariant of the link. Unfortunately the form for the invariants obtained by this procedure is that of an integral over an infinite dimensional space on which, for a mathematician, a measure is not rigorously defined. Various ways of avoiding this difficulty have been developed. These fall into two main categories, namely, formal manipulations of Witten's path integral into a form which can then be rigorously defined, and axiomatic encapsulations of the properties of TQFTs. In these notes we will be concerned with the second path, demonstrating how complex categorical and algebraic structures appear, from apparently simple geometry. As will be seen in the lecture, these structures are related to the quantum group structures which arise in other approaches. Download link：http://www.isload.com.cn/store/7o4ecbuhzctgu [ Last edited by zhq025 on 2008-1-16 at 10:23 ] |
回复此楼» 猜你喜欢
航天502所 高瑛珂博士 婚内征婚 欺骗女性开房
已经有26人回复
-
26/27申博
已经有4人回复
-
地球科学部D01口青年基金，最低几A几B几C才能有几率中呀。
已经有4人回复
-
博士申请
已经有5人回复
2楼2008-01-12 14:05:28
3楼2008-01-12 14:12:39