Donaldson Type Invariants for Algebraic Surfaces / Lecture Notes in Mathematics Bd.1972 (PDF)
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...
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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!
- Autor: Takuro Mochizuki
- 2009, 2009, 383 Seiten, Englisch
- Verlag: Springer-Verlag GmbH
- ISBN-10: 354093913X
- ISBN-13: 9783540939139
- Erscheinungsdatum: 20.04.2009
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- Größe: 5.23 MB
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