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Classroom Contents
Nonrational Toric Geometry I - Symplectic Toric Quasifolds Minicourse
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- 1 Intro
- 2 starting point
- 3 symplectic toric manifolds
- 4 smooth polytopes
- 5 integrality
- 6 how does the Delzant construction work?
- 7 examples
- 8 simple rational convex polytopes
- 9 general simple convex polytopes
- 10 generalized Delzant construction
- 11 quasilattice
- 12 quasirationality
- 13 quasitorus
- 14 symplectic toric quasifolds
- 15 important remark
- 16 the quasisphere
- 17 the chart around the point S
- 18 transition
- 19 the Penrose kite (Battaglia-P. 2010)
- 20 the complex case (Battaglia-P. 2001)
- 21 symplectic reduction (Battaglia-P. 2019)
- 22 remarks on nonrational cuts
- 23 cutting a Penrose kite in half
- 24 from a kite and dart tiling to a rhombus tiling
- 25 cutting in a completely arbitrary direction
- 26 generalized Hirzebruch surfaces as symplectic cuts
- 27 bibliography
- 28 other related works
