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Topological modular forms (TMF) are a sophisticated concept in the fields of algebraic topology and homotopy theory that serves as a bridge between various areas of mathematics, including topology, number theory, and algebraic geometry. They can be understood as a generalization of modular forms, which are complex analytic functions with specific transformation properties and play a central role in number theory.

Ancestors (5)

  1. Algebraic topology
  2. Fields of abstract algebra
  3. Fields of mathematics
  4. Mathematics
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