Donaldson Type Invariants for Algebraic Surfaces : Transition of Moduli Stacks / by Takuro Mochizuki
(Lecture Notes in Mathematics ; 1972)
| データ種別 | 電子ブック |
|---|---|
| 出版者 | Berlin, Heidelberg : Springer Berlin Heidelberg |
| 出版年 | 2009 |
| 本文言語 | 英語 |
| 大きさ | XXIII, 383 p : online resource |
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| 内容注記 | Preliminaries Parabolic L-Bradlow Pairs Geometric Invariant Theory and Enhanced Master Space Obstruction Theories of Moduli Stacks and Master Spaces Virtual Fundamental Classes Invariants |
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| 一般注記 | 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! |
| 著者標目 | *Mochizuki, Takuro author SpringerLink (Online service) |
| 件 名 | LCSH:Mathematics LCSH:Algebraic geometry FREE:Mathematics FREE:Algebraic Geometry |
| 分 類 | DC23:516.35 |
| 巻冊次 | ISBN:9783540939139 
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| ISBN | 9783540939139 |
| URL | http://dx.doi.org/10.1007/978-3-540-93913-9 |
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