Donaldson Type Invariants for Algebraic Surfaces Transition of Moduli Stacks /

• Main Author: Mochizuki, Takuro (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2009.
• Series: Lecture Notes in Mathematics, 1972
• Subjects: Mathematics.; Algebraic geometry.; Algebraic Geometry.

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 for...

Table of Contents:

• Preliminaries
• Parabolic L-Bradlow Pairs
• Geometric Invariant Theory and Enhanced Master Space
• Obstruction Theories of Moduli Stacks and Master Spaces
• Virtual Fundamental Classes
• Invariants.