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On the Classicality of Broda's SU(2) Invariant of 4-manifolds

Louis Crane·Louis H. Kauffman·David N. Yetter
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Abstract

Recent work of Roberts has shown that the first surgical 4-manifold invariant of Broda and (up to an unspecified normalization factor) the state-sum invariant arising from the TQFT of Crane-Yetter are equivalent to the signature of the 4-manifold. Subsequently Broda defined another surgical invariant in which the 1- and 2-handles are treated differently. We use a refinement of Roberts' techniques developped by the authors in hep-th/9309063 to show that the "improved" surgical invariant of Broda also depends only on the signature and Euler character

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Louis Crane, Louis H. Kauffman, David N. Yetter. 1993-09-27. On the Classicality of Broda's SU(2) Invariant of 4-manifolds. https://arxiv.org/abs/hep-th/9309102

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