Quantum Invariants of 3-manifolds
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چکیده
The idea to derive topological invariants of smooth manifolds from partitions functions of certain action functionals was suggested by A. Schwarz (1978) and highlighted by E. Witten (1988). Witten interpreted the Jones polynomial of links in the 3-sphere S as a partition function of the Chern-Simons field theory. Witten conjectured the existence of mathematically defined topological invariants of 3-manifolds generalizing the Jones polynomial (or rather its values in complex roots of unity) to links in arbitrary closed oriented 3-manifolds. A
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تاریخ انتشار 2005