Turkish Journal of Mathematics
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.
DOI
-
Keywords
Representation space, knot group, quaternions
First Page
99
Last Page
109
Recommended Citation
UYGUR, T (2005). SU(2) Representations of The Groups of Integer Tangles. Turkish Journal of Mathematics 29 (1): 99-109. https://doi.org/-
