The Jones-Witten invariants of knots

Michael Atiyah

Séminaire Bourbaki (1989-1990)

  • Volume: 32, page 7-16
  • ISSN: 0303-1179

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Atiyah, Michael. "The Jones-Witten invariants of knots." Séminaire Bourbaki 32 (1989-1990): 7-16. <http://eudml.org/doc/110134>.

@article{Atiyah1989-1990,
author = {Atiyah, Michael},
journal = {Séminaire Bourbaki},
keywords = {topological quantum field theory; Jones polynomial; Witten invariants for links in a compact 3-manifold; moduli space of holomorphic - bundles over a Riemann surface},
language = {eng},
pages = {7-16},
publisher = {Société Mathématique de France},
title = {The Jones-Witten invariants of knots},
url = {http://eudml.org/doc/110134},
volume = {32},
year = {1989-1990},
}

TY - JOUR
AU - Atiyah, Michael
TI - The Jones-Witten invariants of knots
JO - Séminaire Bourbaki
PY - 1989-1990
PB - Société Mathématique de France
VL - 32
SP - 7
EP - 16
LA - eng
KW - topological quantum field theory; Jones polynomial; Witten invariants for links in a compact 3-manifold; moduli space of holomorphic - bundles over a Riemann surface
UR - http://eudml.org/doc/110134
ER -

References

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  1. [1] M.F. Atiyah - Topological quantum field theories, Publ. Math. I.H.E.S.68 (1989), 175-186. Zbl0692.53053MR1260745
  2. [2] V.F.R. Jones - A polynomial invariant for knots via von Neumann algebras, Bull. Amer. Math. Soc., 12 (1985), 103-111. Zbl0564.57006MR766964
  3. [3] V.F.R. Jones - Hecke algebra representations of braid groups and link polynomials, Ann. of Math.126 (1987), 335-388. Zbl0631.57005MR908150
  4. [4] M.S. Narasimhan and C.S. Seshadri - Stable and unitary vector bundles on a compact Riemann surface, Ann. of Math.82 (1965), 540- 567. Zbl0171.04803MR184252
  5. [5] N. Reshetikin and V. Turaev - Invariants of 3-manifolds via link polynomials and quantum groups, (to appear) Zbl0725.57007
  6. [6] C.S. Seshadri - Moduli of vector bundles with parabolic structures, Bull. Amer. Math. Soc.83 (1977). Zbl0354.14005MR570987
  7. [7] A. Tuschiya, K. Ueno and Y. Yamada - Conformal field theory on universal family of stable curves, (to appear). 
  8. [8] E. Witten - Geometry and quantum field theory, Lecture at Centennial meeting of A.M.S., August 1988. Zbl0942.58041
  9. [9] E. Witten - Quantum field theory and the Jones polynomial, Commun. Math. Phys.121 (1989), 351-399. Zbl0667.57005MR990772
  10. [10] E. Witten - Some geometrical applications of quantum field theory, Proc. International congress on Mathematical Physics, Swansea1988, 77-116. Zbl0743.57012MR1033757

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