Talk page
Title:
PART I - Topological recursion, WKB analysis, and (uncoupled) BPS structures
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Abstract:
Starting from the datum of a quadratic differential on a Riemann surface, Gaiotto-Moore-Neitzke studied certain four-dimensional N=2 QFTs by counting its trajectories; the output can be packaged into data known as a BPS structure, which also describes the Donaldson-Thomas theory of CY3 triangulated categories. To solve a totally different problem in physics, Chekhov and Eynard-Orantin introduced the topological recursion, which takes in very similar initial data and recursively produces an infinite tower of geometric invariants, which have been shown to be useful in enumerative geometry.
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