On Ohtsuki's invariants of homology 3-spheres

Ruth J. Lawrence

doi:10.1142/S0218216599000663

On Ohtsuki's invariants of homology 3-spheres

Ruth J. Lawrence^*

^*Corresponding author for this work

Einstein Institute of Mathematics

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

4 Scopus citations

Abstract

By analysing Ohtsuki's original work in which he produced a formal power series invariant of rational homology 3-spheres, we obtain a simplified explicit formula for them, which may also be compared with Rozansky's integral expression. We further show their relation to the exact SO(3) Witten-Reshetikhin-Turaev invariants at roots of unity in a stronger form than that given in Ohtsuki's original work.

Original language	English
Pages (from-to)	1049-1063
Number of pages	15
Journal	Journal of Knot Theory and its Ramifications
Volume	8
Issue number	8
DOIs	https://doi.org/10.1142/S0218216599000663
State	Published - Dec 1999

Keywords

Coloured Jones polynomial
Discrete and continuous Gaussian expectation values
Ohtsuki invariants
Witten-Reshetikhin-Turaev invariants

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KW - Discrete and continuous Gaussian expectation values

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On Ohtsuki's invariants of homology 3-spheres

Abstract

Keywords

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