turaevviro

5reg

turaevviro

No longer stored

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

&eltrmver;5.0

## Description

&eltrmdetail;

A &xml-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 `q` 0 of degree 2`r`.

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

### Parents

The following elements contain `turaevviro`:

- &xml-packet-dim3triangulation;

.

### 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 2`r` 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.