![Donaldson Type Invariants for Algebraic Surfaces](/assets/artwork/1x1-42817eea7ade52607a760cbee00d1495.gif)
![Donaldson Type Invariants for Algebraic Surfaces](/assets/artwork/1x1-42817eea7ade52607a760cbee00d1495.gif)
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Donaldson Type Invariants for Algebraic Surfaces
Transition of Moduli Stacks
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- $59.99
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- $59.99
Publisher Description
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.
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!