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On the Witten-Reshetikhin-Turaev representations of mapping class groups
Author(s):
Patrick
M.
Gilmer
Journal:
Proc. Amer. Math. Soc.
127
(1999),
2483-2488.
MSC (1991):
Primary 57M99
Posted:
April 15, 1999
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Abstract:
We consider a central extension of the mapping class group of a surface with a collection of framed colored points. The Witten-Reshetikhin-Turaev TQFTs associated to  and  induce linear representations of this group. We show that the denominators of matrices which describe these representations over a cyclotomic field can be restricted in many cases. In this way, we give a proof of the known result that if the surface is a torus with no colored points, the representations have finite image.
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Additional Information:
Patrick
M.
Gilmer
Affiliation:
Department of Mathematics, Louisiana State University, Baton Rouge, Louisiana 70803
Email:
gilmer@math.lsu.edu
DOI:
10.1090/S0002-9939-99-04796-6
PII:
S 0002-9939(99)04796-6
Keywords:
Mapping class group,
TQFT
Received by editor(s):
June 23, 1997
Received by editor(s) in revised form:
November 5, 1997
Posted:
April 15, 1999
Additional Notes:
This research was partially supported by a grant from the Louisiana Education Quality Support Fund.
Communicated by:
Ronald A. Fintushel
Copyright of article:
Copyright
1999,
American Mathematical Society
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