Turkish Journal of Mathematics
DOI
-
Abstract
In this work we classify the irreducible SU(2) representations of \Pi_1(S^3\backslash k_n) where k_n is an integer n tangle and as a result we have proved the following theorem: Let n be an odd integer then \mathcal{R}^{\ast}(\Pi_1(S^3 \backslash k_n)) /SO(3) is the disjoint union of n open arcs where \mathcal{R}^{\ast}(\Pi _1(S^3 \backslash k_n)) is the space of irreducible representations.
Keywords
Representation space, knot group, quaternions
First Page
99
Last Page
109
Recommended Citation
UYGUR, TANGÜL (2005) "SU(2) Representations of The Groups of Integer Tangles," Turkish Journal of Mathematics: Vol. 29: No. 1, Article 8. Available at: https://journals.tubitak.gov.tr/math/vol29/iss1/8
