Geodesic
The fundamental group and Betti numbers of toric origami manifolds
Holm, Tara S1 ; Pires, Ana Rita2
1Department of Mathematics, Cornell University, 571 Malott Hall, Ithaca, NY 14850-4201, USA
2Department of Mathematics, Fordham University – Lincoln Center, 113 W 60th St., Room 813, New York, NY 10023-7414, USA
Algebraic and Geometric Topology, Tome 15 (2015) no. 4, pp. 2393-2425
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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.

DOI : 10.2140/agt.2015.15.2393
Classification : 53D20, 55N91, 57R91
Keywords: toric symplectic manifold, toric origami manifold, Delzant polytope, origami template, fundamental group, Betti numbers, cohomology

Holm, Tara S  1   ; Pires, Ana Rita  2

1 Department of Mathematics, Cornell University, 571 Malott Hall, Ithaca, NY 14850-4201, USA
2 Department of Mathematics, Fordham University – Lincoln Center, 113 W 60th St., Room 813, New York, NY 10023-7414, USA 
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Holm, Tara S; Pires, Ana Rita. The fundamental group and Betti numbers of toric origami manifolds. Algebraic and Geometric Topology, Tome 15 (2015) no. 4, pp. 2393-2425. doi: 10.2140/agt.2015.15.2393

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