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1997 | 39 | 1 | 201-209
Tytuł artykułu

A gauge-field approach to 3- and 4-manifold invariants

Autorzy
Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
An approach to construction of topological invariants of the Reshetikhin-Turaev-Witten type of 3- and 4-dimensional manifolds in the framework of SU(2) Chern-Simons gauge theory and its hidden (quantum) gauge symmetry is presented.
Słowa kluczowe
Rocznik
Tom
39
Numer
1
Strony
201-209
Opis fizyczny
Daty
wydano
1997
Twórcy
  • Department of Theoretical Physics, University of Łódź, Pomorska 149/153, PL-90-236 Łódź, Poland
Bibliografia
  • [Bro1] B. Broda, A surgical invariant of 4-manifolds, Proc. Conf. on Quantum Topology, Kansas 1993, D. N. Yetter (ed.), World Scientific, Singapore, 1994, 45-50.
  • [Bro2] B. Broda, TQFT versus RCFT: 3-D topological invariants, Modern Phys. Lett. A 10 (1995), 331-336.
  • [Bro3] B. Broda, Chern-Simons approach to three-manifold invariants, Modern Phys. Lett. A 10 (1995), 487-493.
  • [CdS] E. César de Sá, A link calculus for 4-manifolds, Topology of low-dimensional manifolds, Proc. Sec. Conf. Sussex, Lecture Notes in Math. 722, Springer, Berlin, 1979, 16-30.
  • [CKY1] L. Crane, L. H. Kauffman and D. Yetter, $U_q(sl_2)$ Invariants at Principal and Non-principal Roots of Unity, Adv. Appl. Clifford Algebras 3 (1993), 223.
  • [CKY2] L. Crane, L. H. Kauffman and D. Yetter, On the Classicality of Broda's SU(2) Invariants of 4-Manifolds, Adv. Appl. Clifford Algebras 3 (1993), 223.
  • [CY] L. Crane and D. Yetter, A categorical construction of 4d topological quantum field theories, Quantum Topology, L. Kauffman and R. Baadhio (eds.), World Scientific, Singapore, 1993.
  • [Oht] T. Ohtsuki, A polynomial invariant of integral homology 3-spheres, Math. Proc. Cambridge Philos. Soc. 117 (1995), 83-112.
  • [RT] N. Reshetikhin and V. G. Turaev, Invariants of 3-manifolds via link polynomials and quantum groups, Invent. Math. 103 (1991), 547-597.
  • [Rol] D. Rolfsen, Knots and Links, Publish or Perish, Wilmington, 1976, Chapt. 9.
  • [TV] V. G. Turaev and O. Y. Viro, State sum invariants of 3-manifolds and quantum 6j-symbols, Topology 31 (1992), 865-902.
  • [Wit1] E. Witten, Quantum Field Theory and the Jones polynomial, Comm. Math. Phys. 121 (1989), 351-399.
  • [Wit2] E. Witten, Monopoles and four-manifolds, Math. Res. Lett. 1 (1994), 769-796.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.bwnjournal-article-bcpv39z1p201bwm
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