Circle actions on homotopy spheres bounding plumbing manifolds

Circle actions on homotopy spheres bounding plumbing manifolds
HTML articles powered by AMS MathViewer

by Reinhard Schultz PDF

Proc. Amer. Math. Soc. 36 (1972), 297-300 Request permission

Smooth circle actions are constructed on certain homotopy spheres not previously known to admit such actions.

References

Glen E. Bredon, A $\Pi _\ast$-module structure for $\Theta _\ast$ and applications to transformation groups, Ann. of Math. (2) 86 (1967), 434–448. MR 221518, DOI 10.2307/1970609
William Browder, Surgery and the theory of differentiable transformation groups, Proc. Conf. on Transformation Groups (New Orleans, La., 1967) Springer, New York, 1968, pp. 1–46. MR 0261629
William Browder and Ted Petrie, Semi-free and quasi-free $S^{1}$ actions on homotopy spheres, Essays on Topology and Related Topics (Mémoires dédiés à Georges de Rham), Springer, New York, 1970, pp. 136–146. MR 0263111
David L. Frank, An invariant for almost-closed manifolds, Bull. Amer. Math. Soc. 74 (1968), 562–567. MR 222906, DOI 10.1090/S0002-9904-1968-12010-5
Reinhard Schultz, Composition constructions on diffeomorphisms of $S^{p}\times S^{q}$, Pacific J. Math. 42 (1972), 739–754. MR 315731

Geometric topology

Localization, periodicity, and Galois symmetry

Arthur G. Wasserman, Equivariant differential topology, Topology 8 (1969), 127–150. MR 250324, DOI 10.1016/0040-9383(69)90005-6