Representations of the Heisenberg algebra and moduli spaces of framed sheaves

Details Representations of the Heisenberg algebra and moduli spaces of framed sheaves Representations of the Heisenberg algebra and moduli spaces of framed sheaves

2010-04-16

arxiv.org/abs/1004.2814v1

Mathematics

Algebraic Geometry

Scientific paper

We give a `geometrical' construction of an action of a Heisenberg algebra on
the homology of the moduli spaces of torsion free sheaves on a complex smooth
connected projective surface, framed along a smooth connected genus zero curve.
This result generalizes Nakajima's construction for the Hilbert schemes of
points.

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