Abstract
The paper announces explicit formulas relating two different approaches to constructing quantum invariants of 3-manifolds (see [1], [2]). A new formula for the linking number of classical knots is presented which enables one to extend the first of these approaches to ghost 3-manifold over ℂ.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
N.Y. Reshetikhin, V.G. Turaev, Invariants of 3-manifolds via link polynomials and quantum groups, Invent. Math. 103 (1991), 547.
V.Turaev and O.Viro, State sum invariants of 3-manifolds and quantum 6j-symbols, Topology (to appear).
V.Turaev, Quantum invariants of links and 3-valent graphs in 3-manifolds, Preprint (1990).
V.Turaev, State sum models in low-dimensional topology, Proc. ICM-90, Kyoto (to appear).
V.Turaev, Shadow links and IRF-models of statistical mechanics, Publ. Inst. Rech. Math. Av. (1990), Strasbourg; J. Diff. Geom. (to appear).
V.Turaev, Topology of shadows, In preparation.
K.Walker, On Witten's 3-manifolds invariants, Preprint (November 1990), Strasbourg.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1992 Springer-Verlag
About this paper
Cite this paper
Turaev, V. (1992). Quantum invariants of 3-manifold and a glimpse of shadow topology. In: Kulish, P.P. (eds) Quantum Groups. Lecture Notes in Mathematics, vol 1510. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0101203
Download citation
DOI: https://doi.org/10.1007/BFb0101203
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-55305-2
Online ISBN: 978-3-540-47020-5
eBook Packages: Springer Book Archive