COMPUTER CALCULATION OF WITTEN 3-MANIFOLD INVARIANT

被引:106
作者
FREED, DS
GOMPF, RE
机构
[1] Department of Mathematics, University of Texas at Austin, Austin, 78712, TX
关键词
D O I
10.1007/BF02100006
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Witten's 2 + 1 dimensional Chern-Simons theory is exactly solvable. We compute the partition function, a topological invariant of 3-manifolds, on generalized Seifert spaces. Thus we test the path integral using the theory of 3-manifolds. In particular, we compare the exact solution with the asymptotic formula predicted by perturbation theory. We conclude that this path integral works as advertised and gives an effective topological invariant.
引用
收藏
页码:79 / 117
页数:39
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