Les Houches lectures on non-perturbative topological strings, by Marcos Mariño

SciPost Physics Lecture Notes Home Authoring Refereeing Submit a manuscript About Les Houches lectures on non-perturbative topological strings Marcos Mariño SciPost Phys. Lect. Notes 112 (2026) · published 27 January 2026 Part of the 2024-08: Quantum Geometry - Mathematical Methods for Gravity, Gauge Theories and Non-Perturbative Physics Collection in the Les Houches Summer School Lecture Notes Series. doi: 10.21468/SciPostPhysLectNotes.112 pdf BiBTeX RIS Submissions/Reports Abstract In these lecture notes for the Les Houches School on Quantum Geometry I give an introductory overview of non-perturbative aspects of topological string theory. After a short summary of the perturbative aspects, I first consider the non-perturbative sectors of the theory as unveiled by the theory of resurgence. I give a self-contained derivation of recent results on non-perturbative amplitudes, and I explain the conjecture relating the resurgent structure of the topological string to BPS invariants. In the second part of the lectures I introduce the topological string/spectral theory (TS/ST) correspondence, which provides a non-perturbative definition of topological string theory on toric Calabi–Yau manifolds in terms of the spectral theory of quantum mirror curves. × TY - JOURPB - SciPost FoundationDO - 10.21468/SciPostPhysLectNotes.112TI - Les Houches lectures on non-perturbative topological stringsPY - 2026/01/27UR - https://scipost.org/SciPostPhysLectNotes.112JF - SciPost Physics Lecture NotesJA - SciPost Phys. Lect. NotesSP - 112A1 - Mariño, MarcosAB - In these lecture notes for the Les Houches School on Quantum Geometry I give an introductory overview of non-perturbative aspects of topological string theory. After a short summary of the perturbative aspects, I first consider the non-perturbative sectors of the theory as unveiled by the theory of resurgence. I give a self-contained derivation of recent results on non-perturbative amplitudes, and I explain the conjecture relating the resurgent structure of the topological string to BPS invariants. In the second part of the lectures I introduce the topological string/spectral theory (TS/ST) correspondence, which provides a non-perturbative definition of topological string theory on toric Calabi–Yau manifolds in terms of the spectral theory of quantum mirror curves.ER - × @Article{10.21468/SciPostPhysLectNotes.112, title={{Les Houches lectures on non-perturbative topological strings}}, author={Marcos Mariño}, journal={SciPost Phys. Lect. Notes}, pages={112}, year={2026}, publisher={SciPost}, doi={10.21468/SciPostPhysLectNotes.112}, url={https://scipost.org/10.21468/SciPostPhysLectNotes.112},} Ontology / Topics See full Ontology or Topics database. String theory Topological quantum field theories (TQFT) Author / Affiliation: mappings to Contributors and Organizations See all Organizations. 1 Marcos Mariño 1 Université de Genève / University of Geneva [UNIGE] Funder for the research work leading to this publication European Research Council [ERC]