Equivariant cobordism and duality
Edward C. Hook
Trans. Amer. Math. Soc. 178 (1973), 241-258
Primary 57D85; Secondary 55B20
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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.
E. Bredon, Equivariant cohomology theories, Lecture Notes in
Mathematics, No. 34, Springer-Verlag, Berlin, 1967. MR 0214062
T. Brócker and E. C. Hook, Stable equivariant bordism (to appear).
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
- G. E. Bredon, Equivariant cohomology theories, Lecture Notes in Math., no. 34, Springer-Verlag, Berlin and New York, 1967. MR 35 #4914. MR 0214062 (35:4914)
- T. Brócker and E. C. Hook, Stable equivariant bordism (to appear).
- R. E. Stong, Unoriented bordism and actions of finite groups, Mem. Amer. Math. Soc. No. 103 (1970). MR 42 #8522. MR 0273645 (42:8522)
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