Equivariant cobordism and duality
Edward C. Hook
Abstract
Edward C. Hook
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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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