Calculation of the Casson-Walker-Lescop invariant from chord diagrams

Hitoshi Murakami

Banach Center Publications (1998)

  • Volume: 42, Issue: 1, page 243-254
  • ISSN: 0137-6934

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Murakami, Hitoshi. "Calculation of the Casson-Walker-Lescop invariant from chord diagrams." Banach Center Publications 42.1 (1998): 243-254. <http://eudml.org/doc/208810>.

@article{Murakami1998,
author = {Murakami, Hitoshi},
journal = {Banach Center Publications},
keywords = {Vassiliev invariant; chord diagram; Kontsevich integral; Casson-Walker-Lescop invariant; Vassiliev invariants},
language = {eng},
number = {1},
pages = {243-254},
title = {Calculation of the Casson-Walker-Lescop invariant from chord diagrams},
url = {http://eudml.org/doc/208810},
volume = {42},
year = {1998},
}

TY - JOUR
AU - Murakami, Hitoshi
TI - Calculation of the Casson-Walker-Lescop invariant from chord diagrams
JO - Banach Center Publications
PY - 1998
VL - 42
IS - 1
SP - 243
EP - 254
LA - eng
KW - Vassiliev invariant; chord diagram; Kontsevich integral; Casson-Walker-Lescop invariant; Vassiliev invariants
UR - http://eudml.org/doc/208810
ER -

References

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  1. [1] S. Akbulut and J. D. McCarthy, Casson's invariant for oriented homology 3-spheres - an exposition, Mathematical Notes, vol. 36, Princeton University Press, 1990. Zbl0695.57011
  2. [2] D. Bar-Natan, Non-associative tangles, in: Geometric Topology (W. H. Kazez, ed.), AMS/IP Studies in Advanced Mathematics, vol. 2.1, American Mathematical Society and International Press, 1997, (1993 Georgia International Topology Conference, August 2-13, 1993, University of Georgia, Athens, Georgia), pp. 139-183. 
  3. [3] D. Bar-Natan, On the Vassiliev knot invariant, Topology 34 (1995), 423-472. 
  4. [4] M. Kontsevich, Vassiliev's knot invariants, Advances in Soviet Mathematics (1993), 137-150. Zbl0839.57006
  5. [5] T. Q. T. Le, H. Murakami, J. Murakami, and T. Ohtsuki, A three-manifold invariant derived from the universal Vassiliev-Kontsevich invariant, Proc. Japan Acad. Ser. A Math. Sci. 71 (1995), 125-127. Zbl0863.57011
  6. [6] T. Q. T. Le, H. Murakami, J. Murakami, and T. Ohtsuki, A three-manifold invariant via the Kontsevich integral, preprint, Max-Planck-Institut für Mathematik, Bonn, MPI/95-62, 1995. Zbl0959.57007
  7. [7] T. Q. T. Le, J. Murakami, and T. Ohtsuki, On a universal perturbative invariant of 3-manifolds, to appear in Topology. Zbl0897.57017
  8. [8] C. Lescop, Global surgery formula for the Casson-Walker invariant, Annals of Mathematics Studies, vol. 140, Princeton University Press, 1996. Zbl0949.57008
  9. [9] K. Walker, An extension of Casson's invariant, Annals of Mathematics Studies, vol. 126, Princeton University Press, 1992. Zbl0752.57011

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