Lupascu, P (2002). The Seiberg-Witten equations on Hermitian surfaces. Mathematische Nachrichten, 242:132-147.
We study the Seiberg-Witten equations on an arbitrary compact complex surface endowed with a Hermitian metric. We obtain a description of the moduli space of solutions in terms of effective divisors on the surface. This result was proved previously in [OT1] in the kähler context. Using concrete examples, we also point out some major differences between the Seiberg-Witten moduli spaces on Kähler resp. non-Kähler surfaces.
We study the Seiberg-Witten equations on an arbitrary compact complex surface endowed with a Hermitian metric. We obtain a description of the moduli space of solutions in terms of effective divisors on the surface. This result was proved previously in [OT1] in the kähler context. Using concrete examples, we also point out some major differences between the Seiberg-Witten moduli spaces on Kähler resp. non-Kähler surfaces.
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Uncontrolled Keywords: | Seiberg-Witten equations, Kobayashi-Hitchin correspondence |
| Language: | English |
| Date: | 2002 |
| Deposited On: | 29 Nov 2010 16:27 |
| Last Modified: | 24 Sep 2019 16:17 |
| Publisher: | Wiley-Blackwell Publishing, Inc. |
| ISSN: | 0025-584X |
| OA Status: | Closed |
| Publisher DOI: | https://doi.org/10.1002/1522-2616(200207)242:1<132::AID-MANA132>3.0.CO;2-A |
| Related URLs: | http://www.ams.org/mathscinet-getitem?mr=1916854 http://www.zentralblatt-math.org/zbmath/search/?q=an%3A0993.57016 |
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Lupascu, P