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A Portal Special Presentation- Geometric Unity: A First Look: Difference between revisions
A Portal Special Presentation- Geometric Unity: A First Look (edit)
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So in one case, I can do plus star to pick up the \(A_{\pi}\). But I am also going to have a derivative operator if I just do a star operation, so I need another derivative operator to kill it off here. So I'm going to take minus the derivative with respect to the connection, which defines a connection one-form as well as having the same derivative coming from the Levi-Civita connection on \(U\). | So in one case, I can do plus star to pick up the \(A_{\pi}\). But I am also going to have a derivative operator if I just do a star operation, so I need another derivative operator to kill it off here. So I'm going to take minus the derivative with respect to the connection, which defines a connection one-form as well as having the same derivative coming from the Levi-Civita connection on \(U\). | ||
[[File: | [[File:OmegaDiagramMorePartlyLabelled2.jpg|center]] | ||
''[https://youtu.be/Z7rd04KzLcg?t=6615 01:50:15]''<br> | ''[https://youtu.be/Z7rd04KzLcg?t=6615 01:50:15]''<br> | ||