Colored alexander invariants and cone-manifolds

Jun Murakami

Colored alexander invariants and cone-manifolds

Research output: Contribution to journal › Article

Abstract

In this paper, we reconstruct the link invariant of framed links introduced in [1] by the universal R-matrix of U_q(sl₂) and name it the colored Alexander invariant. We check that the optimistic limit o-lim of this invariant is determined by the volume of the knot and link cone-manifold for figure eight knot, Whitehead link and Borromean rings. We also propose the A-polynomials of these examples obtained from the colored Alexander invariant.

Original language	English
Pages (from-to)	541-564
Number of pages	24
Journal	Osaka Journal of Mathematics
Volume	45
Issue number	2
Publication status	Published - 2008 Jun

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Murakami, J. (2008). Colored alexander invariants and cone-manifolds. Osaka Journal of Mathematics, 45(2), 541-564.

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Colored alexander invariants and cone-manifolds

Abstract

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ASJC Scopus subject areas

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