**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

**Current Topics in Complex Algebraic Geometry**

by

**Herbert Clemens, János Kollár**-

**Cambridge University Press**

The 1992/93 year at the Mathematical Sciences Research Institute was devoted to Complex Algebraic Geometry. This volume collects articles that arose from this event, which took place at a time when algebraic geometry was undergoing a major change.

(

**11083**views)

**Computations in Algebraic Geometry with Macaulay 2**

by

**D. Eisenbud, D. Grayson, M. Stillman, B. Sturmfels**-

**Springer**

This book presents algorithmic tools for algebraic geometry and experimental applications of them. It also introduces a software system in which the tools have been implemented and with which the experiments can be carried out.

(

**8257**views)

**Strings and Geometry**

by

**M. Douglas, J. Gauntlett, M. Gross**-

**American Mathematical Society**

This volume highlights the interface between string theory and algebraic geometry. The topics covered include manifolds of special holonomy, supergravity, supersymmetry, D-branes, the McKay correspondence and the Fourier-Mukai transform.

(

**10058**views)

**Algebraic Geometry**

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.

(

**11824**views)