Abstract
For a p-toral group G, we answer the question which compact (respectively, open) smooth manifolds M can be diffeomorphic to the fixed point sets of smooth actions of G on compact (respectively, open) smooth manifolds E of the homotopy type of a finite ℤ-acyclic CW complex admitting a cellular map of period p, with exactly one fixed point. In the case where the CW complex is contractible, E can be chosen to be a disk (respectively, Euclidean space).
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Dedicated to Victor M. Buchstaber on the occasion of his 75th birthday
Published in Russian in Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2019, Vol. 305, pp. 283��290.
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Pawałowski, K.M., Pulikowski, J. Smooth Actions of p-Toral Groups on ℤ-Acyclic Manifolds. Proc. Steklov Inst. Math. 305, 262–269 (2019). https://doi.org/10.1134/S0081543819030155
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DOI: https://doi.org/10.1134/S0081543819030155