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Hilbert Schemes of Points and Infinite Dimensional Lie Algebras
About this Title
Zhenbo Qin, University of Missouri, Columbia, MO
Publication: Mathematical Surveys and Monographs
Publication Year:
2018; Volume 228
ISBNs: 978-1-4704-4188-3 (print); 978-1-4704-4389-4 (online)
DOI: https://doi.org/10.1090/surv/228
MathSciNet review: MR3752184
MSC: Primary 14C05; Secondary 14F43, 14N35, 17B65, 17B69
Table of Contents
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Front/Back Matter
Hilbert schemes of points on surfaces
- Basic results on Hilbert schemes of points
- The nef cone and flip structure of $(\mathbb {P}^2)^{[n]}$
Hilbert schemes and infinite dimensional Lie algebras
- Hilbert schemes and infinite dimensional Lie algebras
- Chern character operators
- Multiple $q$-zeta values and Hilbert schemes
- Lie algebras and incidence Hilbert schemes
Cohomology rings of Hilbert schemes of points
- The cohomology rings of Hilbert schemes of points on surfaces
- Ideals of the cohomology rings of Hilbert schemes
- Integral cohomology of Hilbert schemes
- The ring structure of $H^*_{\textrm {orb}}(X^{(n)})$
Equivariant cohomology of the Hilbert schemes of points
Gromov-Witten theory of the Hilbert schemes of points