$Z_{p}$actions on symplectic manifolds
HTML articles powered by AMS MathViewer
- by R. J. Rowlett PDF
- Trans. Amer. Math. Soc. 224 (1976), 169-177 Request permission
Abstract:
A bordism classification is studied for periodic maps of prime period p preserving a symplectic structure on a smooth manifold. In sharp contrast to the corresponding oriented bordism, this theory contains nontrivial ptorsion even when p is odd. Calculation gives an upper limit on the size of this p-torsion.References
- P. E. Conner, The bordism class of a bundle space, Michigan Math. J. 14 (1967), 289β303. MR 227995, DOI 10.1307/mmj/1028999779
- P. E. Conner and E. E. Floyd, Differentiable periodic maps, Ergebnisse der Mathematik und ihrer Grenzgebiete, (N.F.), Band 33, Academic Press, Inc., Publishers, New York; Springer-Verlag, Berlin-GΓΆttingen-Heidelberg, 1964. MR 0176478
- P. E. Conner and E. E. Floyd, Periodic maps which preserve a complex structure, Bull. Amer. Math. Soc. 70 (1964), 574β579. MR 164356, DOI 10.1090/S0002-9904-1964-11204-0
- Peter S. Landweber, On the symplectic bordism groups of the spaces $\textrm {Sp}(n)$, $\textrm {HP}(n)$, and $\textrm {BSp}(n)$, Michigan Math. J. 15 (1968), 145β153. MR 226649
- S. P. Novikov, Homotopy properties of Thom complexes, Mat. Sb. (N.S.) 57 (99) (1962), 407β442 (Russian). MR 0157381
- R. E. Stong, Unoriented bordism and actions of finite groups, Memoirs of the American Mathematical Society, No. 103, American Mathematical Society, Providence, R.I., 1970. MR 0273645
Additional Information
- © Copyright 1976 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 224 (1976), 169-177
- MSC: Primary 57D85
- DOI: https://doi.org/10.1090/S0002-9947-1976-0418129-1
- MathSciNet review: 0418129