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Volumn 187, Issue 2, 1997, Pages 261-287

Vassiliev knot invariants and Chern-Simons perturbation theory to all orders

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EID: 0031477142     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002200050136     Document Type: Article
Times cited : (62)

References (20)
  • 1
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    • Alvarez, M., Labastida, J.M.F.: Numerical knot invariants of finite type from Chern-Simons perturbation theory. Nucl. Phys. B433, 555 (1995); erratum Nucl. Phys. 441, 403 (1995)
    • (1995) Nucl. Phys. , vol.B433 , pp. 555
    • Alvarez, M.1    Labastida, J.M.F.2
  • 3
    • 84972540587 scopus 로고
    • Chern-Simons perturbation theory II
    • Axelrod, S., Singer, I.: Chern-Simons perturbation theory. In: The Proceedings of the XXth International conference on differential geometric methods in theoretical physics, June 3-7, 1991, New York City, Singapore: World Scientific. 1992; Axelrod, S., Singer, I.: Chern-Simons perturbation theory II. J. Diff. Geom. 39, 173 (1994)
    • (1994) J. Diff. Geom. , vol.39 , pp. 173
    • Axelrod, S.1    Singer, I.2
  • 6
    • 0000970787 scopus 로고
    • On the Vassiliev knot invariants
    • Bar-Natan, D.: On the Vassiliev knot invariants. Topology 34, 423 (1995)
    • (1995) Topology , vol.34 , pp. 423
    • Bar-Natan, D.1
  • 7
    • 0030553083 scopus 로고
    • On the Melvin-Morton-Rozansky conjecture
    • Bar-Natan, D., Garoufalidis, S.: On the Melvin-Morton-Rozansky conjecture. Invent. Math. 126, 103 (1995)
    • (1995) Invent. Math. , vol.126 , pp. 103
    • Bar-Natan, D.1    Garoufalidis, S.2
  • 8
    • 21844523563 scopus 로고
    • On the self-linking of knots
    • Bott, R., Taubes, C.: On the self-linking of knots. J. Math. Phys. 35 (1994)
    • (1994) J. Math. Phys. , vol.35
    • Bott, R.1    Taubes, C.2
  • 9
    • 0002979277 scopus 로고
    • L'intégrale de gauss et l'analyse des noeuds tridimensionnels
    • Calugareanu, G.: L'intégrale de Gauss et l'analyse des noeuds tridimensionnels. Rev. Math. Pure. Appl. 4, 5 (1959); Pohl, W.F.: The self-linking number of a closed space curve. J. Math. Mech. 17, 975 (1968)
    • (1959) Rev. Math. Pure. Appl. , vol.4 , pp. 5
    • Calugareanu, G.1
  • 10
    • 0001288787 scopus 로고
    • The self-linking number of a closed space curve
    • Calugareanu, G.: L'intégrale de Gauss et l'analyse des noeuds tridimensionnels. Rev. Math. Pure. Appl. 4, 5 (1959); Pohl, W.F.: The self-linking number of a closed space curve. J. Math. Mech. 17, 975 (1968)
    • (1968) J. Math. Mech. , vol.17 , pp. 975
    • Pohl, W.F.1
  • 14
    • 0000710370 scopus 로고
    • Vassiliev invariants and de Rham complex on the space of knots
    • Kohno, T.: Vassiliev invariants and de Rham complex on the space of knots. Contemp. Math. 179, 123 (1994)
    • (1994) Contemp. Math. , vol.179 , pp. 123
    • Kohno, T.1
  • 15
    • 0000294315 scopus 로고
    • Vassiliev's knot invariants
    • Kontsevich, M.: Vassiliev's knot invariants. Adv. in Sov. Math., 16(2), 137 (1993)
    • (1993) Adv. in Sov. Math. , vol.16 , Issue.2 , pp. 137
    • Kontsevich, M.1
  • 18
    • 0001799506 scopus 로고
    • Cohomology of knot spaces
    • ed. V. I. Arnold, Advances in soviet mathematics, Providence, RI: AMS
    • Vassiliev, V.A.: Cohomology of knot spaces. In: "Theory of singularities and its applications." ed. V. I. Arnold, Advances in soviet mathematics, Providence, RI: AMS, 1990
    • (1990) Theory of Singularities and Its Applications
    • Vassiliev, V.A.1
  • 19
    • 0040101335 scopus 로고    scopus 로고
    • private communication, and Harvard senior thesis (unpublished)
    • Thurston, D.P.: Talk at the Aarhus conference, private communication, and Harvard senior thesis (unpublished)
    • Talk at the Aarhus Conference
    • Thurston, D.P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.