2-torus manifolds, cobordism and small covers

• Autores: Zhi Lü
• Localización: Pacific journal of mathematics, ISSN 0030-8730, Vol. 241, Nº 2, 2009, págs. 285-308
• Idioma: inglés
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• Resumen

  • 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.