Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 
 

 

Involutions with fixed point set of constant codimension


Author: Koichi Iwata
Journal: Proc. Amer. Math. Soc. 83 (1981), 829-832
MSC: Primary 57R85; Secondary 57S17
DOI: https://doi.org/10.1090/S0002-9939-1981-0630030-4
MathSciNet review: 630030
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: The cobordism classes of manifolds admitting involutions with fixed point set of codimension 5 are determined by means of Stiefel-Whitney classes.


References [Enhancements On Off] (What's this?)

  • [1] F. L. Capobianco, Cobordism classes represented by fiberings with fiber $ RP(2k + 1)$, Michigan Math. J. 24 (1977), 185-192. MR 57 # 1514. MR 0461529 (57:1514)
  • [2] P. E. Conner, Differentiable periodic maps, 2nd ed., Lecture Notes in Math., vol. 738, Springer-Verlag, Berlin and New York, 1979. MR 548463 (81f:57018)
  • [3] C. Kosniowski and R. E. Stong, Involutions and characteristic numbers, Topology 17 (1978), 309-330. MR 516213 (82a:57036)
  • [4] R. E. Stong, On fibering of cobordism classes, Trans. Amer. Math. Soc. 178 (1973), 431-447. MR 47 #4282. MR 0315733 (47:4282)
  • [5] T. Wada, Manifolds with involution whose fixed point set has codimension six, Bull. Yamagata Univ. Natur. Sci. 10 (1981), 193-205. MR 649944 (83e:57025)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 57R85, 57S17

Retrieve articles in all journals with MSC: 57R85, 57S17


Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1981-0630030-4
Article copyright: © Copyright 1981 American Mathematical Society

American Mathematical Society