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02422nam a22004455i 4500 |
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978-3-540-93913-9 |
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DE-He213 |
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20151204155531.0 |
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cr nn 008mamaa |
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100301s2009 gw | s |||| 0|eng d |
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|a 9783540939139
|9 978-3-540-93913-9
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|a 10.1007/978-3-540-93913-9
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|a Mochizuki, Takuro.
|e author.
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|a Donaldson Type Invariants for Algebraic Surfaces
|h [electronic resource] :
|b Transition of Moduli Stacks /
|c by Takuro Mochizuki.
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|a Berlin, Heidelberg :
|b Springer Berlin Heidelberg,
|c 2009.
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|a XXIII, 383 p.
|b online resource.
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|a text
|b txt
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|a computer
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|a online resource
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|a text file
|b PDF
|2 rda
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|a Lecture Notes in Mathematics,
|x 0075-8434 ;
|v 1972
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|a 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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|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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|a Mathematics.
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|a Algebraic geometry.
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|a Mathematics.
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|a Algebraic Geometry.
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|a SpringerLink (Online service)
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|t Springer eBooks
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|i Printed edition:
|z 9783540939122
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| 830 |
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|a Lecture Notes in Mathematics,
|x 0075-8434 ;
|v 1972
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|u http://dx.doi.org/10.1007/978-3-540-93913-9
|z Full Text via HEAL-Link
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|a ZDB-2-SMA
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|a ZDB-2-LNM
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|a Mathematics and Statistics (Springer-11649)
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