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Lectures on Hilbert Schemes of Points on Surfaces
About this Title
Hiraku Nakajima, Kyoto University, Japan
Publication: University Lecture Series
Publication Year:
1999; Volume 18
ISBNs: 978-0-8218-1956-2 (print); 978-1-4704-1834-2 (online)
DOI: https://doi.org/10.1090/ulect/018
MathSciNet review: MR1711344
MSC: Primary 14C05; Secondary 17B69
Table of Contents
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Front/Back Matter
Chapters
- Introduction
- Chapter 1. Hilbert scheme of points
- Chapter 2. Framed moduli space of torsion free sheaves on $\mathbb {P}^2$
- Chapter 3. Hyper-Kähler metric on $(\mathbb {C}^2)^{[n]}$
- Chapter 4. Resolution of simple singularities
- Chapter 5. Poincaré polynomials of the Hilbert schemes (1)
- Chapter 6. Poincaré polynomials of Hilbert schemes (2)
- Chapter 7. Hilbert scheme on the cotangent bundle of a Riemann surface
- Chapter 8. Homology group of the Hilbert schemes and the Heisenberg algebra
- Chapter 9. Symmetric products of an embedded curve, symmetric functions and vertex operators