Representation theory and the A-polynomial of a knot

Chaos, Solitons and Fractals

Volumn 9, Issue 4-5, 1998, Pages 749-763

  Cooper, D ^a   Long, D D ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL MODELS;

KNOT THEORY;

POLYNOMIALS;

EID: 0032046194     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0960-0779(97)00102-1     Document Type: Article

References (19)

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3. 3. Culler, M. and Shalen, P. B., Bounding separating incompressible surfaces in knot manifolds. Invent. Math., 1984, 75, 537-545.
4. 4. Serre, J. P., Trees. Springer, Heidelberg, 1980.
5. 5. Stallings, J., Some topological proofs and extensions of Grusko's theorem. Thesis, Princeton University, 1959.
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7. 7. Cooper, D., Culler, M., Gillet, H., Long, D. D. and Shalen, P. B., Plane curves associated to character varieties of knot complements. Invent. Math., 1994, 118, 47-84.
8. 8. Hartshorne, R., Algebraic Geometry, GTM No. 52. Springer. Heidelberg, 1977.
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10. 10. Cooper, D. and Long, D. D., Remarks on the A-polynomial of a knot. To appear in J. Knot Theory Ramif.
11. 11. Culler, M., Gordon, C. McA., Luecke, J. and Shalen, P. B., Dehn surgery on knots. Ann. Math., 1987, 237-300.
12. 12. Cooper, D. and Long, D. D., The A-polynomial has ones in the corners. To appear in Bull. L.M.S.
13. 13. Hodgson, C., Degeneration and regeneration of hyperbolic structures on three-manifolds. Thesis, Princeton University, 1986.
14. 14. Hatcher, A. E., On the boundary curves of incompressible surfaces. Pacific J. Math., 1982, 99, 373-377.
15. 15. Cooper, D. and Long, D. D., Roots of unity and the character variety of a knot complement. J. Aust. Math. Soc., 1993, 55, 90-99.
16. 16. Hatcher, A. E. and Thurston, W. P., Incompressible surfaces in 2-bridge knot complements. Invent. Math., 1985, 79, 2 225-246.
17. 17. Cooper, D., Cyclic quotients of knot-like groups. Topol. Applic., 1996, 69, 13-30.
18. 18. Shanahan, P., Curves of eigenvalues and cyclic Dehn-filling. UCSB Ph.D. thesis, in preparation.
19. 2 ℂ. To appear in J. Aust. Math. Soc.