404 citations · 1.3k across the 38 of their papers we have counts for
Showing 1994Show all
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hep-th1994★ 16 cited
State-Sum Invariants of 4-Manifolds I
Louis Crane, Louis H. Kauffman, David N. Yetter
We provide, with proofs, a complete description of the authors' construction of state-sum invariants announced in [CY], and its generalization to an arbitrary (artinian) semisimple…
hep-th1994★ 157 cited
Four dimensional topological quantum field theory, Hopf categories, and the canonical bases
Louis Crane, Igor B. Frenkel
We propose a new mwthod of constructing 4D-TQFTs. The method uses a new type of algebraic structure called a Hopf Category. We also outline the construction of a family of Hopf cat…
hep-th1994★ 3 cited
Possible Implications of the Quantum Theory of Gravity
Louis Crane
We consider the implications of some simple assumptions about the nature of the quantum theory of gravity which are plausible for a class of possible theories I have been attemptin…