Classification of stable fibered knots
Sbornik. Mathematics, Tome 43 (1982) no. 2, pp. 199-234
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In this paper a new invariant of fibered knots is studied, represented as a homotopy pairing in the sense of Spanier and Whitehead. With its help, first of all, a classification of stable fibered knots is given; second, it is shown that certain well-known invariants in knot theory define the type of a stable knot up to a finite number of possibilities; and third, a complete algebraic description of certain classes of knots is given.
Figures: 3.
Bibliography: 33 titles.
@article{SM_1982_43_2_a3,
author = {M. Sh. Farber},
title = {Classification of stable fibered knots},
journal = {Sbornik. Mathematics},
pages = {199--234},
publisher = {mathdoc},
volume = {43},
number = {2},
year = {1982},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1982_43_2_a3/}
}
M. Sh. Farber. Classification of stable fibered knots. Sbornik. Mathematics, Tome 43 (1982) no. 2, pp. 199-234. http://geodesic.mathdoc.fr/item/SM_1982_43_2_a3/