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Resumen de 2-torus manifolds, cobordism and small covers

Zhi Lü

  • Define Mn to be the set of equivariant, unoriented cobordism classes of n-dimensional 2-torus manifolds, where any such manifold is smooth, closed and n-dimensional, and has an effective smooth action of a rank n 2-torus group (Z2)n. Then Mn forms an abelian group with respect to disjoint union. For n = 3, we determine the group structure of Mn and show that each class of Mn contains a small cover as its representative.


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