Asian Journal of Mathematics

Volume 21 (2017)

Number 1

Local Donaldson–Thomas invariants of blowups of surfaces

Pages: 175 – 184

DOI: https://dx.doi.org/10.4310/AJM.2017.v21.n1.a5

Author

Jianxun Hu (Department of Mathematics, Sun Yat-Sen University, Guangzhou, China)

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.

Keywords

Donaldson–Thomas invariant, local surface, degeneration formula, blowup

2010 Mathematics Subject Classification

14E05, 14N35

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Published 16 March 2017