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Jul 13, 2011 at 23:03 vote accept shuhalo
Jul 13, 2011 at 15:41 answer added Nicola Ciccoli timeline score: 2
Jul 13, 2011 at 13:30 answer added Paul Siegel timeline score: 4
Jul 13, 2011 at 2:33 answer added Tom Goodwillie timeline score: 6
Jul 13, 2011 at 1:19 history edited AFK CC BY-SA 3.0
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Jul 12, 2011 at 17:08 comment added Donu Arapura After reading your question a bit more carefully, I realize you are unsure of the signs. To make identifications, you need to choose a metric on $\mathbb{R}^2$ and an orientation. Pick the Euclidean metric oriented so that $dx\wedge dy$ is the volume form. Then this will fix the choice of isomorphisms between $1$-forms and vector fields, and $2$-forms and scalars.
Jul 12, 2011 at 16:53 comment added Donu Arapura I'm not sure I understand the question. I guess, you can view $$d(fdx+gdy) = (\partial g/\partial x-\partial f/\partial y)dx\wedge dy$$ as the $z$-component of the curl.
Jul 12, 2011 at 16:29 history asked shuhalo CC BY-SA 3.0