Conneted sum of representations of knot groups

Jinseok Cho

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arXiv · 1412.6970

Conneted sum of representations of knot groups

Jinseok Cho

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Abstract

When two boundary-parabolic representations of knot groups are given, we introduce the connected sum of these representations and show several natural properties including the unique factorization property. Furthermore, the complex volume of the connected sum is the sum of each complex volumes modulo $i\pi^2$ and the twisted Alexander polynomial of the connected sum is the product of each polynomials with normalization.

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BibTeX RIS

Jinseok Cho. 2014-12-22. Conneted sum of representations of knot groups. https://arxiv.org/abs/1412.6970

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