TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhysLectNotes.111
TI  - Les Houches lecture notes on moduli spaces of Riemann surfaces
PY  - 2026/01/22
UR  - https://scipost.org/SciPostPhysLectNotes.111
JF  - SciPost Physics Lecture Notes
JA  - SciPost Phys. Lect. Notes
SP  - 111
A1  - Giacchetto, Alessandro
AU  - Lewański, Danilo
AB  - In these lecture notes, we provide an introduction to the moduli space of Riemann surfaces, a fundamental concept in the theories of 2D quantum gravity, topological string theory, and matrix models. We begin by reviewing some basic results concerning the recursive boundary structure of the moduli space and the associated cohomology theory. We then present Witten's celebrated conjecture and its generalisation, framing it as a recursive computation of cohomological field theory correlators via topological recursion. We conclude with a discussion of JT gravity in relation to hyperbolic geometry and topological strings.
ER  -

@Article{10.21468/SciPostPhysLectNotes.111,
	title={{Les Houches lecture notes on moduli spaces of Riemann surfaces}},
	author={Alessandro Giacchetto and Danilo Lewański},
	journal={SciPost Phys. Lect. Notes},
	pages={111},
	year={2026},
	publisher={SciPost},
	doi={10.21468/SciPostPhysLectNotes.111},
	url={https://scipost.org/10.21468/SciPostPhysLectNotes.111},
}