Lectures on the topological recursion for Higgs bundles and quantum curves
by Olivia Dumitrescu, Motohico Mulase
Publisher: arXiv 2015
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.
Download or read it online for free here:
Download link
(1.7MB, PDF)
Similar books
![Book cover: Algebraic Groups and Discontinuous Subgroups](images/2654.jpg)
by Armand Borel, George D. Mostow - American Mathematical Society
The book covers linear algebraic groups and arithmetic groups, adeles and arithmetic properties of algebraic groups, automorphic functions and spectral decomposition of L2-spaces, vector valued cohomology and deformation of discrete subgroups, etc.
(14713 views)
![Book cover: Lectures on Curves on Rational and Unirational Surfaces](images/7543.jpg)
by Masayoshi Miyanishi - Tata Institute of Fundamental Research
From the table of contents: Introduction; Geometry of the affine line (Locally nilpotent derivations, Algebraic pencils of affine lines, Flat fibrations by the affine line); Curves on an affine rational surface; Unirational surfaces; etc.
(9632 views)
![Book cover: Determinantal Rings](images/6723.jpg)
by Winfried Bruns, Udo Vetter - Springer
Determinantal rings and varieties have been a central topic of commutative algebra and algebraic geometry. The book gives a coherent treatment of the structure of determinantal rings. The approach is via the theory of algebras with straightening law.
(11560 views)
![Book cover: Algebraic Geometry](images/2446.jpg)
by J.S. Milne
These notes are an introduction to the theory of algebraic varieties. In contrast to most such accounts they study abstract algebraic varieties, not just subvarieties of affine and projective space. This approach leads naturally to scheme theory.
(15862 views)