CHERN-SIMONS-WITTEN INVARIANTS OF LENS SPACES AND TORUS BUNDLES, AND THE SEMICLASSICAL APPROXIMATION

被引:154
作者
JEFFREY, LC
机构
[1] Department of Pure Mathematics and Mathematical Statistics, University of Cambridge, Cambridge, CB2 1SB
关键词
D O I
10.1007/BF02097243
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We derive explicit formulas for the Chem-Simons-Witten invariants of lens spaces and torus bundles over S1, for arbitrary values of the level k. Most of our results are for the group G = SU(2), though some are for more general compact groups. We explicitly exhibit agreement of the limiting values of these formulas as k --> infinity with the semiclassical approximation predicted by the Chern-Simons path integral.
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页码:563 / 604
页数:42
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共 42 条
[11]  
Franz W, 1935, J REINE ANGEW MATH, V173, P245
[12]  
FREED D, 1990, REIDEMEISTER TORSION
[13]  
GAROUFALIDIS S, 1991, RELATIONS 3 MANIFOLD
[14]   STRING THEORY ON GROUP-MANIFOLDS [J].
GEPNER, D ;
WITTEN, E .
NUCLEAR PHYSICS B, 1986, 278 (03) :493-549
[15]  
HIRZEBRUCH F., 1974, ATIYAH SINGER INDEX
[16]  
HIRZEBRUCH F, 1971, DIFFERENTIABLE MANIF
[17]  
Hirzebruch F. E. P., 1971, ANN MATH STUD, V70, P3
[18]  
JEFFREY LC, UNPUB SYMPLECTIC QUA
[19]  
JEFFREY LC, IASSNSHEP9194 PREPR
[20]  
JOHNSON D, 1988, UCLA LECTURE NOTES