The fundamental group and Betti numbers of toric origami manifolds

Tara S. Holm, Ana Rita Pires

Research output: Contribution to journalArticlepeer-review


Toric origami manifolds are characterized by origami templates, which are combinatorial models built by gluing polytopes together along facets. In this paper, we examine the topology of orientable toric oigami manifolds with coorientable folding hypersurface. We determine the fundamental group. In our previous paper [HP], we studied the ordinary and equivariant cohomology rings of simply connected toric origami manifolds. We conclude this paper by computing some Betti numbers in the non-simply connected case.
Original languageEnglish
Pages (from-to)2393-2425
Number of pages34
JournalAlgebraic and Geometric Topology
Issue number4
Publication statusPublished - 10 Sep 2015


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