Overview
Syllabus
Intro
starting point
symplectic toric manifolds
smooth polytopes
integrality
how does the Delzant construction work?
examples
simple rational convex polytopes
general simple convex polytopes
generalized Delzant construction
quasilattice
quasirationality
quasitorus
symplectic toric quasifolds
important remark
the quasisphere
the chart around the point S
transition
the Penrose kite (Battaglia-P. 2010)
the complex case (Battaglia-P. 2001)
symplectic reduction (Battaglia-P. 2019)
remarks on nonrational cuts
cutting a Penrose kite in half
from a kite and dart tiling to a rhombus tiling
cutting in a completely arbitrary direction
generalized Hirzebruch surfaces as symplectic cuts
bibliography
other related works
Taught by
IMSA