Year: 2024
Type: article
Abstract: For any (possibly singular) hyperelliptic curve, we give the definition of a hyperelliptic refined spectral curve and the hyperelliptic refined topological recursion, generalising the formulation for a special class of genus-zero curves by Kidwai and the author, and also improving the proposal by Chekhov and Eynard. Along the way, we uncover a fundamental geometric structure underlying the hyperelliptic refined topological recursion and investigate its properties — parts of which remain conjectural due to computational difficulties. Moreover, we establish a new recursion valid in the so-called Nekrasov-Shatashivili limit and prove existence of the corresponding quantum curve.
Author: Kento Osuga
Institution: The University of Tokyo
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $2,890
Awards: Topological recursion, quantum curves and resurgence theory, Refinement and q-deformation of topological recursion and their applications, Fusion of Birational Geometry and Theory of Periods;Deepening and Exploration of Mirror Symmetry Mathematics, G5059429930, Super Quantum Curves and Super Voros Coefficients, Studies on exact WKB analysis, topological recursion and Painleve equation
OpenAlex ID: W4404577548