No Access

SKEIN MODULES AT THE 4TH ROOTS OF UNITY

ADAM S. SIKORA

Department of Mathematics, SUNY Buffalo, Buffalo, NY 14260, USA

https://doi.org/10.1142/S0218216504003391Cited by:7 (Source: Crossref)

Abstract

The Kauffman bracket skein modules, , have been calculated for A=±1 for all 3-manifolds M by relating them to the -character varieties. We extend this description to the case when A is a 4th root of 1 and M is either a surface×[0,1] or a rational homology sphere (or its submanifold).

Keywords:

AMSC: 57M27

References

D. Bullock, Comment. Math. Helv. 72, 521 (1997). Crossref, Web of Science, Google Scholar
D. Bullock, C. Frohman and J. Kania-Bartoszyńska, Chaos Solitons Fractals 9(4–5), 811 (1998). Crossref, Web of Science, Google Scholar
D. Bullock and J. H. Przytycki, Proc. Amer. Math. Soc. 128(3), 923 (2000). Crossref, Web of Science, Google Scholar
C. Frohman and R. Gelca, Trans. Amer. Math. Soc. 352(10), 4877 (2000). Crossref, Web of Science, Google Scholar
C. Frohman, R. Gelca and W. Lofaro, Trans. Amer. Math. Soc. 354, 735 (2002). Crossref, Web of Science, Google Scholar
R. Kirby , Geometric Topology , Proc. of the 1993 Georgia International Topology Conf. , ed. W. H. Kazez ( Athens, GA , 1993 ) . Google Scholar
J. H. Przytycki, Kobe J. Math. 16(1), 45 (1999), http://xxx.lanl.gov/abs/math.GT/9809113. Web of Science, Google Scholar
J. H. Przytycki and A. S. Sikora, Skein algebra of a group, in Proc. Int. Conf. in Knot Theory, Banach Center Publications, Vol. 42 (Warsaw 1995) . Google Scholar
J. H. Przytycki and A. S. Sikora, Topology 39(1), 115 (2000), http://xxx.lanl.gov/abs/q-alg/9705011. Crossref, Web of Science, Google Scholar
P. Sallenave, J. Knot Theory Ramifications 8(3), 367 (1999). Link, Web of Science, Google Scholar