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. 

If you are interested in translating this Snapshot, please contact us at

Mathematical subjects

Geometry and Topology
Probability Theory and Statistics

Connections to other fields



Piotr Sułkowski
Senior Editor:
Carla Cederbaum
Junior Editor:
Anja Randecker, Sophia Jahns


DOI (Digital Object Identifier)


Download PDF


snapshots: overview

Mathematical subjects

Algebra and Number Theory
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
Humanities and Social Sciences
Life Science
Reflections on Mathematics

These icons are available under the CC BY-SA 4.0 license. Please feel free to use them to classify your own content.
The vector icons can be downloaded here.