The Fundamental Group, Homology, and Cohomology of Toric Origami 4-Manifolds
Pendleton, Ian Alexander
This is a collection of algebraic topological results for toric origami manifolds, mostly in dimension 4. Using a known formula for the fundamental group of a compact orientable toric origami manifold, a list of all groups obtainable as the fundamental group of a compact orientable toric origami 4-manifold is given, along with example manifolds that realize them. The known fundamental group formula is generalized to compact non-orientable toric origami manifolds of all dimensions. The homology and cohomology groups of toric origami 4-manifolds are explicitly constructed with generators realized as embedded submanifolds, and the intersection form and cohomology ring are calculated.
algebraic topology; toric origami; toric symplectic; Mathematics; symplectic geometry
Holm, Tara S.
Sjamaar, Reyer; Manning, Jason F.
Doctor of Philosophy
Attribution 4.0 International
dissertation or thesis
Except where otherwise noted, this item's license is described as Attribution 4.0 International