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Título: Donaldson Type Invariants For Algebraic Surfaces | |
| Autor: Mochizuki Takuro | Precio: $960.00 | |
| Editorial: Springer Publishing Company | Año: 2009 | |
| Tema: Matematicas, Algebra, Textos | Edición: 1ª | |
| Sinopsis | ISBN: 9783540939122 | |
| 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! |
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Última actualización: Jul 2019