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Topological recursion

Snapshots of modern mathematics from Oberwolfach

Topological recursion

In this snapshot we present the concept of topological recursion – a new, surprisingly powerful formalism at the border of mathematics and physics, which has been actively developed within the last decade. After introducing necessary ingredients – expectation values, random matrices, quantum theories, recursion relations, and topology – we explain how they get combined together in one unifying picture. 

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Mathematical subjects

Geometry and Topology
Probability Theory and Statistics

Connections to other fields

Physics

Author(s)

Piotr Sułkowski

License

DOI (Digital Object Identifier)

10.14760/SNAP-2018-002-EN

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PDF

snapshots: overview

      Mathematical subjects

      Algebra and Number Theory
      Analysis
      Didactics and Education
      Discrete Mathematics and Foundations
      Geometry and Topology
      Numerics and Scientific Computing
      Probability Theory and Statistics

      Connections to other fields

      Chemistry and Earth Science
      Computer Science
      Engineering and Technology
      Finance
      Humanities and Social Sciences
      Life Science
      Physics
      Reflections on Mathematics

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