Computing the image of Thurstons skinning map David Dumas Richard - PowerPoint PPT Presentation

Mar 27, 2024 •8 likes •228 views

Computing the image of Thurstons skinning map David Dumas Richard Kent University of Illinois at Chicago University of Wisconsin Madison September 17, 2013 The Skinning Map Goal: Compute and see image of M The Examples The Method

Computing the image of Thurston’s skinning map David Dumas Richard Kent University of Illinois at Chicago University of Wisconsin – Madison September 17, 2013
The Skinning Map Goal: Compute and see image of σ M
The Examples
The Method Intersections in the character variety
The Implementation Triangulate the fiber product
The Flayer Demonstration of fiber product reconstruction
Gallery of skinning map images
Oct1 – Rectangular boundary [cf. Chesebro-Deblois] [ − 2 , 2] × [0 , 4]
Oct1 – Rectangular boundary [cf. Chesebro-Deblois] [ − 2 , 2] × [0 , 4]
Oct1 – Rectangular boundary [cf. Chesebro-Deblois]
Oct1 – Rectangular boundary [cf. Chesebro-Deblois]
Oct2 – Tetrahedral boundary [cf. Gaster] [ − 2 , 2] × [0 , 4]
Oct2 – Tetrahedral boundary [cf. Gaster] [ − 2 , 2] × [0 , 4]
Oct2 – Tetrahedral boundary [cf. Gaster]
Oct2 – Tetrahedral boundary [cf. Gaster]
Oct3 – Square boundary [ − 2 , 2] × [0 , 4]
Oct3 – Square boundary [ − 2 , 2] × [0 , 4]
Oct3 – Square boundary
Oct3 – Square boundary
Oct3 – Square boundary
The Octahedral Manifolds
Tools ◮ Python! ◮ Flayer ◮ Fiber product 2-complex construction ◮ Rasterizer ◮ Fricke calculus and extension variety code generation ◮ Under development, source will be released ◮ cp1 ◮ New library for CP 1 structures ◮ Python ( + C + Cython + GSL) ◮ http://github.com/daviddumas/cp1

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