English

Evaluating the Crane-Yetter Invariant

High Energy Physics - Theory 2008-02-03 v1 Quantum Algebra

Abstract

We provide an explicit formula for the invariant of 4-manifolds introduced by Crane and Yetter (in hep-th 9301062). A consequence of our result is the existence of a combinatorial formula for the signature of a 4-manifold in terms of local data from a triangulation. Potential physical applications of our result exist in light of the fact that the Crane-Yetter invariant is a rigorous version of ideas of Ooguri on B wedge F theory.

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Cite

@article{arxiv.hep-th/9309063,
  title  = {Evaluating the Crane-Yetter Invariant},
  author = {Louis Crane and Louis H. Kauffman and David N. Yetter},
  journal= {arXiv preprint arXiv:hep-th/9309063},
  year   = {2008}
}

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4 pages