On a relation between torsion numbers and Alexander matrix of a knot

Madan Lal Mehta

Bulletin de la Société Mathématique de France (1980)

  • Volume: 108, page 81-94
  • ISSN: 0037-9484

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Mehta, Madan Lal. "On a relation between torsion numbers and Alexander matrix of a knot." Bulletin de la Société Mathématique de France 108 (1980): 81-94. <http://eudml.org/doc/87387>.

@article{Mehta1980,
author = {Mehta, Madan Lal},
journal = {Bulletin de la Société Mathématique de France},
keywords = {torsion numbers of a knot from the Alexander matrix},
language = {eng},
pages = {81-94},
publisher = {Société mathématique de France},
title = {On a relation between torsion numbers and Alexander matrix of a knot},
url = {http://eudml.org/doc/87387},
volume = {108},
year = {1980},
}

TY - JOUR
AU - Mehta, Madan Lal
TI - On a relation between torsion numbers and Alexander matrix of a knot
JO - Bulletin de la Société Mathématique de France
PY - 1980
PB - Société mathématique de France
VL - 108
SP - 81
EP - 94
LA - eng
KW - torsion numbers of a knot from the Alexander matrix
UR - http://eudml.org/doc/87387
ER -

References

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  1. [1] ALEXANDER (J. W.). — Topological invariants of knots and links, Trans. Amer. math. Soc., t. 30, 1928, p. 275-306. Zbl54.0603.03MR1501429JFM54.0603.03
  2. [2] ALEXANDER (J. W.) and BRIGGS (G. B.). — On types of knotted curves, Annals of Math., t. 28, 1927, p. 562-586. Zbl53.0549.02JFM53.0549.02
  3. [3] CROWELL (R. H.) and FOX (R. H.). — Introduction to knot theory. — Boston, Ginn and Company, 1963 (Introduction to higher Mathematics). Zbl0126.39105MR26 #4348
  4. [4] FOX (R. H.). — A quick trip through knot theory, Topology of 3-manifolds, p. 120-176. — Englewood Cliffs, Prentice-Hall, 1962. MR25 #3522
  5. [5] GANTMACHER (F. R.). — The theory of matrices. Vol. I. — New York, Chelsea publishing Company, 1959. 
  6. [6] REIDMEISTER (K.). — Knotentheorie. — Berlin, J. Springer, 1932 [Reprinted by Chelsea publishing Company, 1948] (Ergebnisse der Mathematik, 1, Band 1). Zbl0005.12001JFM58.1202.04
  7. [7] ROLFSEN (D.). — Knots and links. — Berkeley, Publish or Perish, 1976 (Mathematics Lecture Series, 7). Zbl0339.55004MR58 #24236
  8. [8] VOLOGODSKIJ (A. V.), LUKAŠIN (A. V.), FRANK-KAMENETSKIJ (M. D.), ANŠELEVIČ (V. V.). — The knot problem in statistical mechanics of polymer chains, Soviet Phys. J.E.T.P., t. 39, 1974, p. 1059-1063 ; [en russe] Z. eksp. Teor. Fiz., t. 66, 1974, p. 2153-2163. MR51 #12216

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