616 citations
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Showing 2023 · math-phShow all
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math-ph2023★ 6 cited
Log topological recursion through the prism of swap
Alexander Alexandrov, Boris Bychkov, Petr Dunin-Barkowski +2
We introduce a new concept of logarithmic topological recursion that provides a patch to topological recursion in the presence of logarithmic singularities and prove that this new…
math-ph2023★ 7 cited
KP integrability through the swap relation
Alexander Alexandrov, Boris Bychkov, Petr Dunin-Barkowski +2
We discuss a universal relation that we call the swap relation, which plays a prominent role in the theory of topological recursion, Hurwitz theory, and free probability theo…
math-ph2023★ 3 cited
Topological recursion, symplectic duality, and generalized fully simple maps
Alexander Alexandrov, Boris Bychkov, Petr Dunin-Barkowski +2
For a given spectral curve, we construct a family of symplectic dual spectral curves for which we prove an explicit formula expressing the -point functions produced by the topol…