lamps
donaldson type invariants for algebraic surfaces transition of moduli stacks
p we are defining and studying an algebro geometric analogue of donaldson invariants by using moduli spaces of semistable sheaves with arbitrary ranks on a polarized projective surface.we are interested in relations among the invariants which are natural generalizations of the wall crossing formula and the witten conjecture for classical donaldson invariants . p our goal is to obtain a weaker version of these relations by systematically using the intrinsic smoothness of moduli spaces . according to the recent excellent work of l. goettsche h. nakajima and k. yoshioka the wall crossing formula for donaldson invariants of projective surfaces can be deduced from such a weaker result in the rank two case