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Donaldson Type Invariants for Algebraic Surfaces: Transition of Moduli Stacks (Lecture Notes in Mathematics Book 1972) by Takuro Mochizuki (auth.) is a nonfiction available to read on EtoBox.

What is Donaldson Type Invariants for Algebraic Surfaces: Transition of Moduli Stacks (Lecture Notes in Mathematics Book 1972) about?

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!

Who reads Donaldson Type Invariants for Algebraic Surfaces: Transition of Moduli Stacks (Lecture Notes in Mathematics Book 1972)?

Author

Takuro Mochizuki (auth.)

Publisher

Springer-Verlag Berlin Heidelberg

Published

2009

Language

EN

ISBN

9783540939139

Category

nonfiction

Subjects

Mathematics, Geometry And Topology, Stem