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| Product Code: | CRMP/38 |
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| eBook ISBN: | 978-1-4704-3952-1 |
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| Softcover ISBN: | 978-0-8218-3568-5 |
| eBook: ISBN: | 978-1-4704-3952-1 |
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| AMS Member Price: | $160.00 $121.20 |
| 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 |
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Book DetailsCRM Proceedings & Lecture NotesVolume: 38; 2004; 258 ppMSC: 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.
ReadershipGraduate students and researchers interested in moduli spaces in algebraic geometry, topology, and mathematical physics.
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Table of Contents
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Chapters
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Lectures on Hilbert schemes
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Lectures on instanton counting
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Hyper-Kähler Nahm transforms
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Instanton counting via affine Lie algebras. I. Equivariant $J$-functions of (affine) flag manifolds and Whittaker vectors
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The Gysin map is compatible with mixed Hodge structures
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Representations of fundamental groups of nonorientable 2-manifolds
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Mukai flops and derived categories. II
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Fourier-Mukai number of a K3 surface
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Derived equivalence of holomorphic symplectic manifolds
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The affine stratification number and the moduli space of curves
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Coherent sheaves on generic compact tori
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The cohomology rings of Hilbert schemes via Jack polynomials
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RequestsReview Copy – for publishers of book reviewsAccessibility – to request an alternate format of an AMS title
- Book Details
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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.
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
