Symplectic Geometry
Cohomology is a mathematical tool used in topology and algebraic geometry that associates algebraic invariants, called cohomology groups, to a topological space. It helps in understanding the shape and structure of manifolds, including symplectic manifolds, by providing information about their global properties and relationships between different spaces. In the context of symplectic geometry, cohomology plays a crucial role in classifying and studying the properties of symplectic manifolds through their characteristic classes.
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