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OverviewWe 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! Full Product DetailsAuthor: Takuro MochizukiPublisher: Springer Imprint: Springer Dimensions: Width: 23.40cm , Height: 2.20cm , Length: 15.60cm Weight: 0.581kg ISBN: 9783540939740ISBN 10: 3540939741 Pages: 416 Publication Date: 30 March 2009 Audience: General/trade , General Format: Undefined Publisher's Status: Unknown Availability: Out of stock  Table of ContentsReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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