Poincaré invariants are Seiberg–Witten invariants

Huai-liang Chang; Young-Hoon Kiem

doi:10.2140/gt.2013.17.1149

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Home > Journals > Geom. Topol. > Volume 17 > Issue 2 > Article

2013 Poincaré invariants are Seiberg–Witten invariants

Huai-liang Chang, Young-Hoon Kiem

Geom. Topol. 17(2): 1149-1163 (2013). DOI: 10.2140/gt.2013.17.1149

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Abstract

We prove a conjecture of Dürr, Kabanov and Okonek that provides an algebro-geometric theory of Seiberg–Witten invariants for all smooth projective surfaces. Our main technique is the cosection localization principle (Kiem and Li [arXiv:1007.3085]) of virtual cycles.

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Huai-liang Chang. Young-Hoon Kiem. "Poincaré invariants are Seiberg–Witten invariants." Geom. Topol. 17 (2) 1149 - 1163, 2013. https://doi.org/10.2140/gt.2013.17.1149