Description

Book Synopsis


Table of Contents
  • 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: Equivariant cohomology of Hilbert schemes
  • Hilbert/Gromov-Witten correspondence
  • Gromov-Witten theory of the Hilbert schemes of points: Cosection localization for the Hilbert schemes of points
  • Equivariant quantum operator of Okounkov-Pandharipande
  • The genus-0 extremal Gromov-Witten invariants
  • Ruan's Cohomological Crepant Resolution Conjecture
  • Bibliography
  • Index

    Hilbert Schemes of Points and Infinite

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      A Hardback by Zhenbo Qin

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        Publisher: MP-AMM American Mathematical
        Publication Date: 3/30/2018 12:00:00 AM
        ISBN13: 9781470441883, 978-1470441883
        ISBN10: 1470441888

        Description

        Book Synopsis


        Table of Contents
        • 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: Equivariant cohomology of Hilbert schemes
        • Hilbert/Gromov-Witten correspondence
        • Gromov-Witten theory of the Hilbert schemes of points: Cosection localization for the Hilbert schemes of points
        • Equivariant quantum operator of Okounkov-Pandharipande
        • The genus-0 extremal Gromov-Witten invariants
        • Ruan's Cohomological Crepant Resolution Conjecture
        • Bibliography
        • Index

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