Nonrational Toric Geometry I - Symplectic Toric Quasifolds Minicourse

Nonrational Toric Geometry I - Symplectic Toric Quasifolds Minicourse

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symplectic toric manifolds

3 of 28

3 of 28

symplectic toric manifolds

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Nonrational Toric Geometry I - Symplectic Toric Quasifolds Minicourse

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

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