Finiteness of the image of the Reidemeister torsion of a splice
Annales mathématiques Blaise Pascal, Tome 27 (2020) no. 1, pp. 19-36.

The set RT(M) of values of the SL(2,)-Reidemeister torsion of a 3-manifold M can be both finite and infinite. We prove that RT(M) is a finite set if M is the splice of two certain knots in the 3-sphere. The proof is based on an observation on the character varieties and A-polynomials of knots.

Publié le :
DOI : 10.5802/ambp.389
Classification : 57M27, 57M25, 20C99, 14M99
Mots clés : Reidemeister torsion, $A$-polynomial, character variety, splice, bending, Riley polynomial
Kitano, Teruaki 1 ; Nozaki, Yuta 2

1 Department of Information Systems Science, Faculty of Science and Engineering, Soka University Tangi-cho 1-236, Hachioji, Tokyo 192-8577, Japan
2 Organization for the Strategic Coordination of Research and Intellectual Properties, Meiji University 4-21-1 Nakano, Nakano-ku, Tokyo, 164-8525, Japan
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Kitano, Teruaki; Nozaki, Yuta. Finiteness of the image of the Reidemeister torsion of a splice. Annales mathématiques Blaise Pascal, Tome 27 (2020) no. 1, pp. 19-36. doi : 10.5802/ambp.389. http://www.numdam.org/articles/10.5802/ambp.389/

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