Geodesic
Poincaré invariants are Seiberg–Witten invariants
Chang, Huai-liang1 ; Kiem, Young-Hoon2
1 Department of Mathematics, Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong
2 Department of Mathematics and Research Institute of Mathematics, Seoul National University, Seoul 151-747, South Korea
Geometry & topology, Tome 17 (2013) no. 2, pp. 1149-1163.

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

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.

DOI : 10.2140/gt.2013.17.1149
Classification : 14J80
Keywords: Poincaré invariant, Seiberg–Witten invariants, virtual cycles

Chang, Huai-liang 1 ; Kiem, Young-Hoon 2

1 Department of Mathematics, Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong
2 Department of Mathematics and Research Institute of Mathematics, Seoul National University, Seoul 151-747, South Korea 
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Chang, Huai-liang; Kiem, Young-Hoon. Poincaré invariants are Seiberg–Witten invariants. Geometry & topology, Tome 17 (2013) no. 2, pp. 1149-1163. doi : 10.2140/gt.2013.17.1149. http://geodesic.mathdoc.fr/articles/10.2140/gt.2013.17.1149/

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