Logo

Lectures on the topological recursion for Higgs bundles and quantum curves

Small book cover: Lectures on the topological recursion for Higgs bundles and quantum curves

Lectures on the topological recursion for Higgs bundles and quantum curves
by

Publisher: arXiv
Number of pages: 69

Description:
The paper aims at giving an introduction to the notion of quantum curves. The main purpose is to describe the new discovery of the relation between the following two disparate subjects: one is the topological recursion, that has its origin in random matrix theory and has been effectively applied to many enumerative geometry problems; and the other is the quantization of Hitchin spectral curves associated with Higgs bundles.

Home page url

Download or read it online for free here:
Download link
(1.7MB, PDF)

Similar books

Book cover: Introduction to Algebraic GeometryIntroduction to Algebraic Geometry
by
From the table of contents: Affine Varieties; Ideals and varieties. Hilbert's Basis Theorem. Regular functions and regular mappings. Projective and Abstract Varieties; Dimension Theory; Regular and singular points; Intersection theory.
(10901 views)
Book cover: Geometry UnboundGeometry Unbound
by
This is not a typical math textbook, it does not present full developments of key theorems, but it leaves strategic gaps in the text for the reader to fill in. The original text underlying this book was a set of notes for the Math Olympiad Program.
(14766 views)
Book cover: Abelian VarietiesAbelian Varieties
by
Introduction to both the geometry and the arithmetic of abelian varieties. It includes a discussion of the theorems of Honda and Tate concerning abelian varieties over finite fields and the paper of Faltings in which he proves Mordell's Conjecture.
(11450 views)
Book cover: Modular Functions and Modular FormsModular Functions and Modular Forms
by
This is an introduction to the arithmetic theory of modular functions and modular forms, with an emphasis on the geometry. Prerequisites are the algebra and complex analysis usually covered in advanced undergraduate or first-year graduate courses.
(11735 views)