**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

**Mirror Symmetry**

by

**Cumrun Vafa, Eric Zaslow**-

**American Mathematical Society**

The book provides an introduction to the field of mirror symmetry from both a mathematical and physical perspective. After covering the relevant background material, the monograph is devoted to the proof of mirror symmetry from various viewpoints.

(

**7704**views)

**Algebraic Groups and Discontinuous Subgroups**

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.

(

**9636**views)

**Lectures on Moduli of Curves**

by

**D. Gieseker**-

**Tata Institute of Fundamental Research**

These lecture notes are based on some lectures given in 1980. The object of the lectures was to construct a projective moduli space for stable curves of genus greater than or equal two using Mumford's geometric invariant theory.

(

**4660**views)

**Homogeneous Spaces and Equivariant Embeddings**

by

**Dmitri A. Timashev**-

**arXiv**

A monograph on homogeneous spaces of algebraic groups and their equivariant embeddings. Some results are supplied with proofs, the other are cited with references to the original papers. The style is intermediate between survey and detailed monograph.

(

**6773**views)