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: 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.
(11468 views)
Book cover: Introduction to Stokes StructuresIntroduction to Stokes Structures
by - arXiv
The purpose of these lectures is to introduce the notion of a Stokes-perverse sheaf as a receptacle for the Riemann-Hilbert correspondence for holonomic D-modules. They develop the original idea of P. Deligne in dimension one.
(6316 views)
Book cover: Noncommutative Algebraic GeometryNoncommutative Algebraic Geometry
by - Cambridge University Press
This book provides an introduction to some of the most significant topics in this area, including noncommutative projective algebraic geometry, deformation theory, symplectic reflection algebras, and noncommutative resolutions of singularities.
(1865 views)
Book cover: An Introduction to Complex Algebraic GeometryAn Introduction to Complex Algebraic Geometry
by - Institut Fourier Grenoble
This is an advanced course in complex algebraic geometry presupposing only some familiarity with theory of algebraic curves or Riemann surfaces. The goal is to understand the Enriques classification of surfaces from the point of view of Mori-theory.
(7253 views)