Heisenberg algebra and Hilbert schemes of points on projective surfaces
Hiraku Nakajima
TL;DR
This paper explores the relationship between Heisenberg algebras and the geometry of Hilbert schemes of points on projective surfaces, providing new algebraic insights into their structure.
Contribution
It introduces a novel connection between Heisenberg algebra representations and the geometry of Hilbert schemes on projective surfaces.
Findings
Established a new algebraic framework for Hilbert schemes
Linked Heisenberg algebra actions to geometric structures
Provided tools for further geometric representation theory
Abstract
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Taxonomy
TopicsAdvanced Topics in Algebra · Advanced Algebra and Geometry · Algebraic structures and combinatorial models