Communications in Mathematical Physics

, Volume 135, Issue 3, pp 615–640 | Cite as

2-d physics and 3-d topology

  • L. Crane


Invariants of three dimensional manifolds and of framed oriented labeled links in them are rigorously defined using any solution to the Moore-Seiberg axioms for a Rational Conformal field theory. These invariants are generalizations of Witten's Chern-Simons path integrals. Connections are explored with supersymmetry, four dimensional manifolds, and quantum gravity.


Neural Network Manifold Statistical Physic Field Theory Complex System 
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Copyright information

© Springer-Verlag 1991

Authors and Affiliations

  • L. Crane
    • 1
  1. 1.Department of MathematicsYale UniversityNew HavenUSA

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