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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Equivariant cobordism and duality


Author: Edward C. Hook
Journal: Trans. Amer. Math. Soc. 178 (1973), 241-258
MSC: Primary 57D85; Secondary 55B20
MathSciNet review: 0321120
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Abstract: We consider equivariant cobordism theory, defined by means of an equivariant Thorn spectrum; in particular, we investigate the relationship between this theory and the more geometric equivariant bordism theory, showing that there is a Poincaré-Lefschetz duality theorem which is valid in this setting.


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

  • [1] Glen E. Bredon, Equivariant cohomology theories, Lecture Notes in Mathematics, No. 34, Springer-Verlag, Berlin-New York, 1967. MR 0214062 (35 #4914)
  • [2] T. Brócker and E. C. Hook, Stable equivariant bordism (to appear).
  • [3] 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 (42 #8522)

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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1973-0321120-4
PII: S 0002-9947(1973)0321120-4
Keywords: Equivariant cobordism, Thom spectrum, Thom isomorphism, Poincaré-Lefschetz duality
Article copyright: © Copyright 1973 American Mathematical Society