Skip to main content
SpringerLink
Log in

Skeins, SU(N) three-manifold invariants and TQFT

  • Published:
Commentarii Mathematici Helvetici

Abstract.

The skein theory associated to the HOMFLY polynomial invariant of oriented knots and links in the three-sphere is explored in order to provide the background results necessary for the creation of a Topological Quantum Field Theory. A simple local duality result in the skein theory is proved. It allows vector space dimensions in the theory to be correlated with the structure constants in a skein algebra associated to the solid torus.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Author information

Authors and Affiliations

  1. Department of Pure Mathematics and Mathematical Statistics, University of Cambridge, 16, Mill Lane, Cambridge, CB2 1SB, United Kingdom, e-mail: wbrl@dpmms.cam.ac.uk, , , , , , UK

    W. B. R. Lickorish

Authors
  1. W. B. R. Lickorish
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Received: June 23, 1997

Rights and permissions

Reprints and permissions

About this article

Cite this article

Lickorish, W. Skeins, SU(N) three-manifold invariants and TQFT. Comment. Math. Helv. 75, 45–64 (2000). https://doi.org/10.1007/s000140050112

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/s000140050112

Search

Navigation