Local Donaldson-Thomas invariants of Blowups of surfaces
Jianxun Hu
TL;DR
This paper derives a formula describing how local Donaldson-Thomas invariants of surfaces change when the surface is blown up at points, using degeneration techniques.
Contribution
It introduces a new degeneration formula for local Donaldson-Thomas invariants under surface blowups, expanding understanding of their behavior.
Findings
Derived a formula for invariants under blowups
Applied degeneration formula to local surfaces
Enhanced computational tools for Donaldson-Thomas invariants
Abstract
Using the degeneration formula for Donaldson-Thomas invariants, we proved a formula for the change of Donaldson-Thomas invariants of local surfaces under blowing up along points.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Geometric and Algebraic Topology · Geometry and complex manifolds