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The fundamental group
and Betti numbers of toric origami manifolds
Tara S Holm and Ana Rita Pires |
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Algebraic & Geometric Topology 15 (2015) 2393–2425
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Abstract |
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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. |
Keywords
toric symplectic manifold, toric origami manifold, Delzant
polytope, origami template, fundamental group, Betti
numbers, cohomology
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Mathematical Subject Classification 2010
Primary: 53D20
Secondary: 55N91, 57R91
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References |
Publication
Received: 21 July 2014
Revised: 3 December 2014
Accepted: 27 December 2014
Published: 10 September 2015
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Authors |
| Tara S Holm | |
| Department of Mathematics Cornell University 571 Malott Hall Ithaca, NY 14850-4201 USA |
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| Ana Rita Pires | |
| Department of Mathematics Fordham University – Lincoln Center 113 W 60th St. Room 813 New York, NY 10023-7414 USA |
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