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About Donaldson Type Invariants for Algebraic Surfaces: Transition of Moduli Stacks
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!
Detailed Information
| Author: | Takuro Mochizuki (auth.) |
|---|---|
| Publication Year: | 2009 |
| ISBN: | 9783540939122 |
| Pages: | 403 |
| Language: | English |
| File Size: | 3.678 |
| Format: | |
| Price: | FREE |
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