Year: 2025
Type: article
Abstract: For an oriented 3‐manifold , let denote its Kauffman bracket skein module over . We show that admits torsion when is the exterior of the Montesinos knot with each . This provides a negative answer to Problem 1.92 (G)–(i) in the Kirby's list, which asks whether is free when is irreducible and has no incompressible nonboundary parallel torus.
DOI: 10.1112/jlms.70398
Author: Haimiao Chen
Institution: Beijing Technology and Business University
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4417435509