QuantumSO(3)-invariants dominate theSU(2)-invariant of Casson and Walker
1995 ◽
Vol 117
(2)
◽
pp. 237-249
◽
Keyword(s):
For a compact Lie groupG, E. Witten proposed topological invariants of a threemanifold (quantumG-invariants) in 1988 by using the Chern-Simons functional and the Feynman path integral [30]. See also [2]. N. Yu. Reshetikhin and V. G. Turaev gave a mathematical proof of existence of such invariants forG=SU(2) [28]. R. Kirby and P. Melvin found that the quantumSU(2)-invariantassociated toq= exp(2π √ − 1/r) withrodd splits into the product of the quantumSO(3)-invariantand[15]. For other approaches to these invariants, see [3, 4, 5, 16, 22, 27].
1999 ◽
Vol 14
(06)
◽
pp. 919-936
◽
Keyword(s):
2004 ◽
Vol 18
(10n11)
◽
pp. 1465-1478
◽
Keyword(s):
1999 ◽
Vol 40
(11)
◽
pp. 5511-5521
◽
1991 ◽
pp. 285-295
◽
Keyword(s):
Keyword(s):
1997 ◽
Vol 12
(20)
◽
pp. 1455-1463
◽
Keyword(s):