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### Physics and Topology Physics Forums

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### Applications of Geometric Topology to Theoretical Physics

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An axiom system for special quantum field theories was introduced over 25 years ago by Segal and Atiyah. It has been much elaborated and developed, particularly in Topology is of further significance in Contact mechanics where the dependence of stiffness and friction on the dimensionality of surface structures is the subject of interest with applications in multi-body physics. A topological quantum field theory (or topological field theory or TQFT) is a quantum field theory that computes topological invariants.

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GEOMETRY, TOPOLOGY AND PHYSICS SECOND EDITION MIKIO NAKAHARA Department of Physics Kinki University, Osaka, Japan INSTITUTE OF PHYSICS PUBLISHING Bristol and Topology is implicitly applied in almost all of physics. The reason is, it is a prerequisite for most of the mathematics that is used in physics. For instance, quantum mechanics uses a Hilbert space, which requires topology for a rigorous formulation.