Donaldson Type Invariants for Algebraic Surfaces: Transition of Moduli Stacks
Takuro Mochizuki (auth.)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!
Kategorien:
Jahr:
2009
Auflage:
1
Verlag:
Springer-Verlag Berlin Heidelberg
Sprache:
english
Seiten:
383
ISBN 10:
3540939121
ISBN 13:
9783540939122
Serien:
Lecture Notes in Mathematics 1972
Datei:
PDF, 3.68 MB
IPFS:
,
english, 2009
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