After a brief introduction to framed sheaves and their moduli spaces, we give a geometric 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. If there is any time left, I will explain a possible relation between these operators and a higher rank generalization of Carlsson and Okounkov's formula