Modular forms and quantum invariants of 3-manifolds

Modular forms and quantum invariants of 3-manifolds (1999)

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by Ruth Lawrence , Don Zagier

Venue:	Asian J. Math
Citations:	24 - 1 self

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@ARTICLE{Lawrence99modularforms,
    author = {Ruth Lawrence and Don Zagier},
    title = {Modular forms and quantum invariants of 3-manifolds},
    journal = {Asian J. Math},
    year = {1999},
    pages = {93--107}
}

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Abstract

1. Introduction. The Witten-Reshetikhin-Turaev (WRT) invariant of a compact connected oriented 3-manifold M may be formally defined by [16]

Citations

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38	Topological quantum field theories, Publ - Atiyah - 1989
34	Quantum SU(2)-invariants dominate Casson’s SU(2)-invariant - Murakami - 1994
31	Vassiliev invariants and a strange identity related to the Dedekind eta-function, Topology 40 - Zagier - 2001
29	R.E.: Computer calculation of Witten’s 3manifold invariant - Freed, Gompf - 1991
29	Asymptotic expansion of Witten-Reshetikhin-Turaev invariants for some simple 3-manifolds - Lawrence
21	Witten-Reshetikhin-Turaev invariants of Seifert manifolds - Lawrence, Rozansky - 1997
18	A proof of the mock theta conjectures - Hickerson - 1988
8	An introduction to Topological Field Theory - Lawrence - 1996
7	On p-adic properties of the Witten-Reshetikhin-Turaev invariant, arXiv:math.QA/9806075 Research Institute for - Rozansky - 2002
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4	Witten-Reshetikhin-Turaev invariants of 3-manifolds as holomorphic functions, Geometry and physics - Lawrence - 1995
3	An introduction to Topological Field Theory, The interface of knots and physics - Lawrence - 1995
1	Asymptotic expansions of quantum invariants and a zeta-function of a knot - Sink - 1999
1	Period functions for modular forms of half-integral weight, in preparation. forms and quantum invariants of 3-manifolds 109 - Zagier