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Everything about Topological recursion
In mathematics, topological recursion is a recursive definition of invariants of spectral curves. It has applications in enumerative geometry, random matrix theory, mathematical physics, string theory, knot theory. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Topological recursionA 5-minute orientation
- Skim a recent paper: Topological recursion for Kadomtsev–Petviashvili tau functions of hypergeometric typeInfluential work since 2022
- Pick up a classic book: Potential wadge classesThe most-reprinted book on the subject
- Read the landmark paper: Topological recursion in enumerative geometry and random matricesCited 81 times
- Go sideways: Beta functionA closely related topic
- Go sideways: Étale cohomologyA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🏆 Landmark papers (most cited)
Topological recursion in enumerative geometry and random matrices
Virasoro Constraints and Topological Recursion for Grothendieck’s Dessin Counting
Recursion relations in topological gravity with minimal matter
Abstract loop equations, topological recursion and new applications
Blobbed topological recursion: properties and applications
Reconstructing WKB from topological recursion
Topological recursion on the Bessel curve
Weighted Hurwitz Numbers and Topological Recursion
🆕 Influential since 2022
Topological recursion for Kadomtsev–Petviashvili tau functions of hypergeometric type
A simple formula for the x-y symplectic transformation in topological recursion
Higher Airy Structures, 𝒲 Algebras and Topological Recursion
Higher Airy structures and topological recursion for singular spectral curves
The ABCD of topological recursion
📚 Books worth reading
Potential wadge classesDominique Lecomte · 2013- 📕On formal spaces and their effective presentationsInger Sigstam · 1990
- 📕Combinatory reduction systemsJ. W. Klop · 1980
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
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