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This subtopic introduces the core ideas in relations to quantum topology and physics, including foundational concepts, standard methods, and the main questions used to organize the area. Typical uses include building mathematical background, framing related research problems, and supporting applications in neighboring fields where these concepts provide useful structure.
Relations of manifolds and cell complexes with physics. This topic studies interactions between topology and physics, especially quantum invariants and topological structures arising in field theories.
Used to transfer techniques between low-dimensional topology, representation theory, and mathematical physics.