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Hilbert schemes of points and infinite dimensional lie algebras /

Bibliographic Details
Main Author: Qin, Zhenbo (Author)
Format: Book
Language:English
Language Notes:Text in English.
Published: Providence, Rhode Island : American Mathematical Society, [2018]
Series:Mathematical surveys and monographs ; no. 228.
Subjects:
Hilbert schemes.
Schemes (Algebraic geometry)
Lie algebras.
Algebraic geometry > Cycles and subschemes > Parametrization (Chow and Hilbert schemes)
Nonassociative rings and algebras > Lie algebras and Lie superalgebras > Infinite-dimensional Lie (super)algebras.
Algebraic geometry > (Colo.)homology theory > Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies)
Algebraic geometry > Surfaces and higher-dimensional varieties > Vector bundles on surfaces and higher-dimensional varieties, and their moduli.
Algebraic geometry > Projective and enumerative geometry > Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants.
Nonassociative rings and algebras > Lie algebras and Lie superalgebras > Vertex operators; vertex operator algebras and related structures.
Table of Contents:
  • Part 1. Hilbert schemes of points on surfaces
  • Part 2. Hilbert schemes and infinite dimensional Lie algebras
  • Part 3. Cohomology rings of Hilbert schemes of points
  • Part 4. Equivariant cohomology of the Hilbert schemes of points
  • Part 5. Gromov-Witten theory of the Hilbert schemes of points.