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Torus-covering knot groups and their irreducible metabelian $SU(2)$-representations by Nakamura, Inasa is a scholarly article available to read on EtoBox.

What is Torus-covering knot groups and their irreducible metabelian $SU(2)$-representations about?

A torus-covering $T^2$-knot is a surface-knot of genus one determined from a pair of commutative braids. For a torus-covering $T^2$-knot $F$, we determine the number of irreducible metabelian $SU(2)$-representations of the knot group of $F$ in terms of the knot determinant of $F$. It is similar to the result due to Lin for the knot group of a classical knot. Further, we investigate the number of irreducible metabelian $SU(2)$-representations using Fox's $p$-colorability.

Author

Nakamura, Inasa

Published

2019

Language

EN