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Jan 11 at 20:14 comment added Malkoun trivial remark: if we think of $\theta$ as associated to a connection, then the first equation just says that $\alpha$ is a parallel $2$-form with respect to that connection. The second equation seems to say something about the curvature of this connection.
Jan 11 at 20:05 history edited Antoine Balan CC BY-SA 4.0
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Jan 11 at 19:57 history edited Antoine Balan CC BY-SA 4.0
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Mar 27, 2023 at 2:32 history edited Antoine Balan CC BY-SA 4.0
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May 19, 2021 at 6:18 history edited Antoine Balan CC BY-SA 4.0
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Mar 22, 2020 at 18:31 comment added Antoine Balan But there is a real analogy between these equations and those of Seiberg-Witten. The question deserves to be posed.
Mar 22, 2020 at 17:15 review Close votes
Mar 25, 2020 at 8:26
Mar 22, 2020 at 16:54 comment added Chris Gerig You're asking a big question (almost homework-like), like "show me how to build a cohomology theory", without demonstrating any attempt yourself, which is why I voted to close. I recommend understanding how the ordinary Seiberg-Witten invariants are defined, and check it for yourself (do you have an elliptic equation, transversality, appropriate index, compactness, etc.).
Mar 22, 2020 at 16:52 history edited Antoine Balan CC BY-SA 4.0
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Mar 22, 2020 at 16:39 history edited Antoine Balan CC BY-SA 4.0
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Mar 22, 2020 at 16:15 history edited Antoine Balan CC BY-SA 4.0
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Mar 22, 2020 at 16:03 history asked Antoine Balan CC BY-SA 4.0