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100301s2009 gw | s |||| 0|eng d |
| 020 |
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|a 9783540939139
|9 978-3-540-93913-9
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| 024 |
7 |
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|a 10.1007/978-3-540-93913-9
|2 doi
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| 100 |
1 |
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|a Mochizuki, Takuro.
|e author.
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|a Donaldson Type Invariants for Algebraic Surfaces
|b Transition of Moduli Stacks /
|c by Takuro Mochizuki.
|h [electronic resource] :
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| 264 |
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|a Berlin, Heidelberg :
|b Springer Berlin Heidelberg,
|c 2009.
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| 300 |
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|b online resource.
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| 336 |
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|a text
|b txt
|2 rdacontent
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| 337 |
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|a computer
|b c
|2 rdamedia
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| 338 |
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|a online resource
|b cr
|2 rdacarrier
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| 347 |
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|a text file
|b PDF
|2 rda
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| 490 |
1 |
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|a Lecture Notes in Mathematics,
|v 1972
|x 0075-8434 ;
|
| 505 |
0 |
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|a 1. Introduction -- 2. Preliminaries -- 3. Parabolic L-Bradlow pairs -- 4. Geometric Invariant Theory and Enhanced Master Space -- 5. Obstruction Theories of Moduli Stacks and Master Spaces -- 6. Virtual Fundamental Classes -- 7. Invariants.
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|a 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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| 650 |
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|a Mathematics.
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|a Geometry, algebraic.
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1 |
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|a Mathematics.
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|a Algebraic Geometry.
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| 710 |
2 |
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|a SpringerLink (Online service)
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|t Springer eBooks
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| 776 |
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8 |
|i Printed edition:
|z 9783540939122
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| 830 |
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|a Lecture Notes in Mathematics,
|v 1972
|x 0075-8434 ;
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| 856 |
4 |
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|u https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-3-540-93913-9
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|a ZDB-2-SMA
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|a ZDB-2-LNM
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| 950 |
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|a Mathematics and Statistics (Springer-11649)
|