Moduli of Sheaves on Surfaces and Action of the Oscillator Algebra

Details Moduli of Sheaves on Surfaces and Action of the Oscillator Algebra Moduli of Sheaves on Surfaces and Action of the Oscillator Algebra

1998-11-15

arxiv.org/abs/math/9811092v2

Mathematics

Algebraic Geometry

35 pages, Latex2e, some typos and references corrected

Scientific paper

Let S be a smooth projective algebraic surface. Generalizing results of
Nakajima and Grojnowski, we construct (under some assumptions) an action of the
oscillator algebra associated to the cohomology of S, on the cohomology of the
moduli spaces of stable rank r sheaves on S.

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