| 查看: 683 | 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
售SCI一区T0P文章，我:8.O55.1.O.54,科目全,可十急
已经有9人回复
-
售SCI文章，我:8O5.5.1.O.54,科目齐全,可+急
已经有6人回复
-
售SCI一区T0P文章，我:8.O.55.1.O54,科目全,可伽急
已经有6人回复
-
售SCI一区T0P文章，我:8.O.55.1.O54,科目全,可伽急
已经有5人回复
-
售一区SCI文章T0P，我:8O.551.O54,科目全,可十急
已经有6人回复
-
售SCI一区文章，我:8.O.55.1.O.54,科目齐全,可伽急
已经有8人回复
-
售SCI文章，我:8O5.5.1.O.54,科目齐全,可+急
已经有6人回复
-
售SCI一区文章，我:8.O.55.1.O.54,科目齐全,可伽急
已经有9人回复
-
国自然面上复盘~欢迎讨论
已经有15人回复
-
中青基了要发朋友圈吗？
已经有3人回复
2楼2008-01-12 14:05:28
3楼2008-01-12 14:12:39
10