Feynman diagrams, ribbon graphs, and topological recursion of Eynard-Orantin
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DOI: 10.1007/jhep06(2018)162
Abstract: A bstractWe consider two seemingly unrelated problems, calculation of the WKB expansion of the harmonic oscillator wave functions and counting the number of Feynman diagrams in QED or in many-body physics and show that their… read more here.
Keywords: topological recursion; ribbon graphs; number; recursion eynard ... See more keywords
Weighted Hurwitz numbers and topological recursion: An overview
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DOI: 10.1063/1.5013201
Abstract: Multiparametric families of hypergeometric $\tau$-functions of KP or Toda type serve as generating functions for weighted Hurwitz numbers, providing weighted enumerations of branched covers of the Riemann sphere. A graphical interpretation of the weighting is… read more here.
Keywords: hurwitz numbers; topological recursion; tau function; weighted hurwitz ... See more keywords
Topological recursion with hard edges
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DOI: 10.1142/s0129167x19500149
Abstract: We prove a Givental type decomposition for partition functions that arise out of topological recursion applied to spectral curves. Copies of the Konstevich–Witten KdV tau function arise out of regular spectral curves and copies of… read more here.
Keywords: spectral curves; topological recursion; hard edges; recursion hard ... See more keywords