Delzant

Calculations with 2D Delzant and almost toric moment Polytopes

Requirements

Uses the GLMakie package.

Usage

In Julia:

include("delzant.jl")
P = Polygon([0,0],[1,0],[1,1],[0,1]) # vertices in counter-clockwise order
interact(P)

Then you can click a corner to do a mutation there, arrow keys apply a shear matrix, and ctrl+click resizes the viewport to fit the polygon.

There are also some predefined Polygons like CP2 and CP2_1, CP2_2, CP2_3 being its 1,2,3 point blowups.

Work in Progress

This program is very much work in progress and it is uncertain if it will ever leave that stage. However feel free to message me if something doesn't seem to work as expected.