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Algebraic Structures and Moduli Spaces: CRM Workshop, July 14–20, 2003, Montréal, Canada
 
Edited by: Jacques Hurtubise McGill University, Montréal, QC, Canada and Centre de Recherches Mathématiques, Montréal, QC, Canada
Eyal Markman University of Massachusetts, Amherst, MA
A co-publication of the AMS and Centre de Recherches Mathématiques
Algebraic Structures and Moduli Spaces
Softcover ISBN:  978-0-8218-3568-5
Product Code:  CRMP/38
List Price: $103.00
MAA Member Price: $92.70
AMS Member Price: $82.40
eBook ISBN:  978-1-4704-3952-1
Product Code:  CRMP/38.E
List Price: $97.00
MAA Member Price: $87.30
AMS Member Price: $77.60
Softcover ISBN:  978-0-8218-3568-5
eBook: ISBN:  978-1-4704-3952-1
Product Code:  CRMP/38.B
List Price: $200.00 $151.50
MAA Member Price: $180.00 $136.35
AMS Member Price: $160.00 $121.20
Algebraic Structures and Moduli Spaces
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Algebraic Structures and Moduli Spaces: CRM Workshop, July 14–20, 2003, Montréal, Canada
Edited by: Jacques Hurtubise McGill University, Montréal, QC, Canada and Centre de Recherches Mathématiques, Montréal, QC, Canada
Eyal Markman University of Massachusetts, Amherst, MA
A co-publication of the AMS and Centre de Recherches Mathématiques
Softcover ISBN:  978-0-8218-3568-5
Product Code:  CRMP/38
List Price: $103.00
MAA Member Price: $92.70
AMS Member Price: $82.40
eBook ISBN:  978-1-4704-3952-1
Product Code:  CRMP/38.E
List Price: $97.00
MAA Member Price: $87.30
AMS Member Price: $77.60
Softcover ISBN:  978-0-8218-3568-5
eBook ISBN:  978-1-4704-3952-1
Product Code:  CRMP/38.B
List Price: $200.00 $151.50
MAA Member Price: $180.00 $136.35
AMS Member Price: $160.00 $121.20
  • Book Details
     
     
    CRM Proceedings & Lecture Notes
    Volume: 382004; 258 pp
    MSC: Primary 14;

    This book contains recent and exciting developments on the structure of moduli spaces, with an emphasis on the algebraic structures that underlie this structure. Topics covered include Hilbert schemes of points, moduli of instantons, coherent sheaves and their derived categories, moduli of flat connections, Hodge structures, and the topology of affine varieties.

    Two beautiful series of lectures are a particularly fine feature of the book. One is an introductory series by Manfred Lehn on the topology and geometry of Hilbert schemes of points on surfaces, and the other, by Hiraku Nakajima and Kōta Yoshioka, explains their recent work on the moduli space of instantons over \({\mathbb R}^4\).

    The material is suitable for graduate students and researchers interested in moduli spaces in algebraic geometry, topology, and mathematical physics.

    Titles in this series are co-published with the Centre de Recherches Mathématiques.

    Readership

    Graduate students and researchers interested in moduli spaces in algebraic geometry, topology, and mathematical physics.

  • Table of Contents
     
     
    • Chapters
    • Lectures on Hilbert schemes
    • Lectures on instanton counting
    • Hyper-Kähler Nahm transforms
    • Instanton counting via affine Lie algebras. I. Equivariant $J$-functions of (affine) flag manifolds and Whittaker vectors
    • The Gysin map is compatible with mixed Hodge structures
    • Representations of fundamental groups of nonorientable 2-manifolds
    • Mukai flops and derived categories. II
    • Fourier-Mukai number of a K3 surface
    • Derived equivalence of holomorphic symplectic manifolds
    • The affine stratification number and the moduli space of curves
    • Coherent sheaves on generic compact tori
    • The cohomology rings of Hilbert schemes via Jack polynomials
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 382004; 258 pp
MSC: Primary 14;

This book contains recent and exciting developments on the structure of moduli spaces, with an emphasis on the algebraic structures that underlie this structure. Topics covered include Hilbert schemes of points, moduli of instantons, coherent sheaves and their derived categories, moduli of flat connections, Hodge structures, and the topology of affine varieties.

Two beautiful series of lectures are a particularly fine feature of the book. One is an introductory series by Manfred Lehn on the topology and geometry of Hilbert schemes of points on surfaces, and the other, by Hiraku Nakajima and Kōta Yoshioka, explains their recent work on the moduli space of instantons over \({\mathbb R}^4\).

The material is suitable for graduate students and researchers interested in moduli spaces in algebraic geometry, topology, and mathematical physics.

Titles in this series are co-published with the Centre de Recherches Mathématiques.

Readership

Graduate students and researchers interested in moduli spaces in algebraic geometry, topology, and mathematical physics.

  • Chapters
  • Lectures on Hilbert schemes
  • Lectures on instanton counting
  • Hyper-Kähler Nahm transforms
  • Instanton counting via affine Lie algebras. I. Equivariant $J$-functions of (affine) flag manifolds and Whittaker vectors
  • The Gysin map is compatible with mixed Hodge structures
  • Representations of fundamental groups of nonorientable 2-manifolds
  • Mukai flops and derived categories. II
  • Fourier-Mukai number of a K3 surface
  • Derived equivalence of holomorphic symplectic manifolds
  • The affine stratification number and the moduli space of curves
  • Coherent sheaves on generic compact tori
  • The cohomology rings of Hilbert schemes via Jack polynomials
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.