CONSTRUCTING TQFTS FROM MODULAR FUNCTORS
2001 ◽
Vol 10
(08)
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pp. 1085-1131
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Keyword(s):
We prove in this paper that any 2 dimensional modular functor satisfying that S1,1≠0 induces a family of 2+1 dimensionally topological quantum field theories. We do this for two kinds of modular functors namely a modular functor on the category of extended surfaces and a modular functor on the category of extended surfaces with marked points and directions. We follow the ideas of M. Kontsevich, [21], and K. Walker, [32] but we give proofs and provide details left out in [21] and [32]. Careful study also shows that more choices are needed to define the TQFT than it is revealed in [21] and [32]. On the other hand, relations found in [32] turns out not to be needed here.
2011 ◽
Vol 26
(26)
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pp. 4523-4541
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Keyword(s):
2007 ◽
Vol 18
(01)
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pp. 69-112
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1992 ◽
Vol 07
(02)
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pp. 209-234
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Keyword(s):
1991 ◽
Vol 136
(1)
◽
pp. 157-168
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1999 ◽
Vol 08
(02)
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pp. 125-163
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1989 ◽
Vol 222
(3-4)
◽
pp. 419-424
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1996 ◽
Vol 05
(05)
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pp. 569-587
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2004 ◽
Vol 19
(14)
◽
pp. 2339-2353
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2010 ◽
Vol 07
(02)
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pp. 247-266