Abstract
We shall prove new constraints on the Seiberg–Witten basic classes of anti-self-dual manifolds. As applications of the constraints, we shall prove some new vanishing theorems for the Seiberg–Witten invariants of anti-self-dual manifolds.
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Constraints on Seiberg–Witten basic classes of anti-self-dual manifolds
Masashi Ishida1
1Department of Mathematics, Sophia University, 7-1, Kioi-Cho, Chiyoda-Ku, Tokyo 102-8554 Japan. masashi@math.sunysb.edu
Citation Information: Forum Mathematicum. Volume 22, Issue 4, Pages 641–655, ISSN (Online) 1435-5337, ISSN (Print) 0933-7741, DOI: 10.1515/forum.2010.035, February 2010
Publication History:
- Received:
- 2008-04-29
- Revised:
- 2008-10-30
- Published Online:
- 2010-02-08
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