1973•Transactions of the American Mathematical SocietyRequires access

Equivariant cobordism and duality

Edward C. Hook

Open publisher page 8 citations

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.

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What this paper is about

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.

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Available 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.

Key concepts: Equivariant map, Mathematics, Cobordism, Pure mathematics, Poincaré duality, Duality (order theory), Spectrum (functional analysis), Cohomology

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