Kontsevich’s mapping space

Kontsevich's mapping space refers to a mathematical concept that studies all possible ways one shape (like a geometric object) can be continuously transformed into another within a specific context. Imagine exploring every possible deformation from one structure to another without tearing or creating gaps. This space captures the entire set of these transformations, providing a framework to analyze their properties and relationships. It’s a fundamental idea in areas like algebraic geometry and topology, helping mathematicians understand the deeper connections and symmetries between complex shapes and spaces.