Donaldson-Thomas invariants and wall-crossing formulas
Yuecheng Zhu
TL;DR
This paper introduces Donaldson-Thomas invariants and explains the wall-crossing formulas that describe how these invariants change across different stability conditions.
Contribution
It provides an overview of Donaldson-Thomas invariants and derives wall-crossing formulas, advancing understanding of their behavior in algebraic geometry.
Findings
Formulation of Donaldson-Thomas invariants
Derivation of wall-crossing formulas
Insights into invariants' stability behavior
Abstract
Notes from the report at the Fields institute in Toronto. We introduce the Donaldson-Thomas invariants and describe the wall-crossing formulas for numerical Donaldson-Thomas invariants.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Nonlinear Waves and Solitons · Algebraic Geometry and Number Theory