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: Algebraic Geometry over the Complex NumbersAlgebraic Geometry over the Complex Numbers
by - Purdue University
Algebraic geometry is the geometric study of sets of solutions to polynomial equations over a field (or ring). In this book the author maintains a reasonable balance between rigor and intuition; so it retains the informal quality of lecture notes.
(7797 views)
Book cover: Classical Algebraic Geometry: A Modern ViewClassical Algebraic Geometry: A Modern View
by - Cambridge University Press
The main purpose of the present treatise is to give an account of some of the topics in algebraic geometry which while having occupied the minds of many mathematicians in previous generations have fallen out of fashion in modern times.
(3595 views)
Book cover: Ample Subvarieties of Algebraic VarietiesAmple Subvarieties of Algebraic Varieties
by - Springer
These notes are an enlarged version of a three-month course of lectures. Their style is informal. I hope they will serve as an introduction to some current research topics, for students who have had a one year course in modern algebraic geometry.
(1867 views)
Book cover: From D-modules to Deformation Quantization ModulesFrom D-modules to Deformation Quantization Modules
by - UPMC
The aim of these lecture notes is first to introduce the reader to the theory of D-modules in the analytical setting and also to make a link with the theory of deformation quantization (DQ for short) in the complex setting.
(2701 views)