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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snapshots-2018-002.pdf

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snapshots: overview

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Closed geodesics on surfaces and Riemannian manifolds
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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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