Quantum invariants at the sixth root of unity

Robion Kirby; Paul Melvin; Xingru Zhang

doi:10.1007/BF02097030

Quantum invariants at the sixth root of unity

Robion Kirby
, Paul Melvin
, Xingru Zhang

Mathematics

University of California at Berkeley
Bryn Mawr College

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

A general topological formula is given for the SU (2) quantum invariant of a 3-manifold M at the sixth root of unity. It is expressed in terms of the homology, Witt invariants and signature defects of the various 2-fold covers of M, and thus ties in with basic 4-dimensional invariants. A discussion of the range of values of these quantum invariants is included, and explicit evaluations are made for lens spaces.

Original language	English
Pages (from-to)	607-617
Number of pages	11
Journal	Communications in Mathematical Physics
Volume	151
Issue number	3
DOIs	https://doi.org/10.1007/BF02097030
State	Published - Feb 1993

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abstract = "A general topological formula is given for the SU (2) quantum invariant of a 3-manifold M at the sixth root of unity. It is expressed in terms of the homology, Witt invariants and signature defects of the various 2-fold covers of M, and thus ties in with basic 4-dimensional invariants. A discussion of the range of values of these quantum invariants is included, and explicit evaluations are made for lens spaces.",

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AU - Melvin, Paul

AU - Zhang, Xingru

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AB - A general topological formula is given for the SU (2) quantum invariant of a 3-manifold M at the sixth root of unity. It is expressed in terms of the homology, Witt invariants and signature defects of the various 2-fold covers of M, and thus ties in with basic 4-dimensional invariants. A discussion of the range of values of these quantum invariants is included, and explicit evaluations are made for lens spaces.

UR - https://www.scopus.com/pages/publications/21144465775

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SN - 0010-3616

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EP - 617

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

IS - 3

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Quantum invariants at the sixth root of unity

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