2014/07/17 by Tara S. Holm, Ana Rita Pires
Computer Science · Mathematics · #Advanced Combinatorial Mathematics #Betti number #Cohomology #Combinatorics #Equivariant map #Folding (DSP implementation) #Fundamental group #Geometric and Algebraic Topology #Group (periodic table) #Hypersurface #Manifold (fluid mechanics) #Mathematics #Polytope #Pure mathematics #Simply connected space #Topological and Geometric Data Analysis #Topology (electrical circuits) #Toric variety #math.AT #math.SG #msc:53D20 #msc:55N91 #msc:57R91
paper · pdf · doi:10.2140/agt.2015.15.2393
published as Algebr. Geom. Topol. 15 (2015) 2393-2425 · 21 pages, 4 figures, 1 table. Background in Section 1 draws heavily from the background section of our previous paper arXiv:1211.6435
arxiv created 2014/07/17 · openalex publication_date 2015/09/10 · arxiv updated 2016/01/20 · openalex created_date 2020/11/23 · openalex updated_date 2026/08/05
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 origami manifolds with coorientable folding hypersurface. We determine the fundamental group. In our previous paper, we studied the ordinary and equivariant cohomology rings of simply connected toric origami manifolds. We conclude this paper by computing some Betti numbers and cohomology rings in the non-simply connected case.