In this article, we establish a Hitchin-Kobayashi type correspondence for generalised Seiberg-Witten monopole equations on Kahler surfaces. We show that the "stability" criterion we obtain, for the existence of solutions, coincides with that of the usual Seiberg-Witten monopole equations. This enables us to construct a map from the moduli space of solutions to the generalised equations to effective divisors. Published by AIP Publishing.
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Conselleria Cultura Educ & Ordenac Univ, Edificio Adm San Caetano, Santiago 15781, SpainConselleria Cultura Educ & Ordenac Univ, Edificio Adm San Caetano, Santiago 15781, Spain
Calvino-Louzao, E.
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Garcia-Rio, E.
Gilkey, P.
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Univ Oregon, Dept Math, Eugene, OR 97403 USAConselleria Cultura Educ & Ordenac Univ, Edificio Adm San Caetano, Santiago 15781, Spain
Gilkey, P.
Gutierrez-Rodriguez, I.
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Univ Santiago de Compostela, Fac Math, Santiago 15782, SpainConselleria Cultura Educ & Ordenac Univ, Edificio Adm San Caetano, Santiago 15781, Spain
Gutierrez-Rodriguez, I.
Vazquez-Lorenzo, R.
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IES Ribadeo Dionisio Gamallo, Dept Math, Ribadeo 27700, SpainConselleria Cultura Educ & Ordenac Univ, Edificio Adm San Caetano, Santiago 15781, Spain
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Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R ChinaTsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China
Han, Xiaoli
Li, Jiayu
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Abdus Salam Int Ctr Theoret Phys, Math Grp, I-34100 Trieste, Italy
Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R ChinaTsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China