turaevviro


	turaevviro

Name

turaevviro — No longer stored

Synopsis

Content Model
turaevviro ::=
Attributes
Name	Type
`r`	NUMBER (required)
`root`	NUMBER (required)
`value`	NUMBER (required)

Removed in Regina 5.0

Description

This element has been removed. It will not be written to new data files, and it will be ignored when reading older data files.

A turaevviro element stores a single calculated Turaev-Viro invariant for a triangulation.

Each Turaev-Viro invariant corresponds to a particular set of initial data, as described in the paper of Turaev and Viro in which these invariants appear (Turaev & Viro, State sum invariants of 3-manifolds and quantum 6j-symbols, Topology 31:4 (1992), pp. 865–902). In particular, Section 7 of this paper describes the initial data as determined by an integer r >= 3 and a root of unity q₀ of degree 2r.

This initial data, as well as the value of the resulting invariant, are stored in the attributes of the turaevviro element.

Parents

The following elements contain turaevviro: packet (3-dimensional triangulation).

Children

Element turaevviro has no children.

Attributes

r: The integer r >= 3 used in the initial data for this invariant.
root: An integer strictly between 0 and 2r identifying the particular root of unity used in the initial data for this invariant.
value: The value of this invariant expressed as a real number.

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