Bordism of spin manifolds with local actions of Tori in low dimensions

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Mathematical Institute, University of Wrocław, pl. Grunwaldzki 2/4, 50-384 Wrocław, Poland

[B] L. D. Borsari, Bordism of semifree circle actions on Spin manifolds, Trans. Amer. Math. Soc. 301 (1987), 479-487.
[Br] G. E. Bredon, Compact Transformation Groups, Academic Press, New York, 1972.
[CG] J. Cheeger and M. Gromov, Collapsing Riemannian manifolds while keeping their curvature bounded I, J. Differential Geom. 23 (1986), 309-346.
[G] M. Gromov, Volume and bounded cohomology, Publ. IHES 56 (1983), 213-307.
[HJ] B. Hajduk and T. Januszkiewicz, Cobordism of polarized t-structures, Topology 31 (1992), 559-570.
[KT] R. C. Kirby and L. R. Taylor, Pin structures on low-dimensional manifolds, in: London Math. Soc. Lecture Note Ser. 151, Cambridge Univ. Press, Cambridge, 1990, 177-242.
[Mi1] P. Mikrut, Bordism of 4-manifolds with local action of tori, preprint, 1994.
[Mi2] P. Mikrut, Bordism of spin 4-manifolds with local action of tori, preprint, 1995.
[OR] P. Orlik and F. Raymond, Actions of the torus on 4-manifolds I, Trans. Amer. Math. Soc. 152 (1970), 531-559.