The term h*(σ_g) refers to the cohomology class associated with a particular element σ_g in a cohomology ring, often representing a characteristic class or a generator of the cohomology group. It plays a crucial role in understanding the topological properties of spaces by relating algebraic structures to geometric features. The notation emphasizes the action of the cohomology operation h* on elements from a given space, revealing deeper insights into the relationships between various cohomological elements.
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