Skip to main content
SpringerLink
Log in

Abelian BF Theories and Knot Invariants

  • Published:
Communications in Mathematical Physics Aims and scope Submit manuscript

Abstract:

In the context of the Batalin–Vilkovisky formalism, a new observable for the Abelian BF theory is proposed whose vacuum expectation value is related to the Alexander–Conway polynomial. The three-dimensional case is analyzed explicitly, and it is proved to be anomaly free. Moreover, at the second order in perturbation theory, a new formula for the second coefficient of the Alexander–Conway polynomial is obtained. An account on the higher-dimensional generalizations is also given.

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. Lyman Laboratory of Physics, Harvard University, Cambridge, MA 02138, USA.¶E-mail: cattaneo@math.harvard.edu, , , , , , US

    Alberto S. Cattaneo

Authors
  1. Alberto S. Cattaneo
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Received: 2 October 1996 / Accepted: 21 March 1997

Rights and permissions

Reprints and permissions

About this article

Cite this article

Cattaneo, A. Abelian BF Theories and Knot Invariants . Comm Math Phys 189, 795–828 (1997). https://doi.org/10.1007/s002200050229

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/s002200050229

Keywords

Search

Navigation