Talk:Tensor field

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The section on "twisting by a line bundle" and "half-density" is quite opaque as it currently is written. linas 00:21, 5 May 2005 (UTC)

I was redirected to this page from half-form (by clicking the link in the article on geometric quantization) but on this page there is no explanation to what a half-form is, if it is the same as a tensor field or something else. I have not found information on this anyewhere else. Erik J 10:41, 5 October 2005 (UTC)

I'm planning on fixing this, but at the rate I'm going, it'll take another 6 months. Mean time line bundle and Hopf bundle may help. linas 14:02, 5 October 2005 (UTC)

OK, a half-form would be something like a square root of an n-form on an n-dimensional manifold. The question is, what is the geometric meaning of such a thing? It is not obvious that geometrically taking square roots is harmless (it isn't for complex numbers). But you are right that it is time to support this all by references (Guillemin-Sternberg, Geometric Asymptotics, p. 251). Charles Matthews 21:28, 5 October 2005 (UTC)

Sounds like a mangled volume form, a jacobian-like thingy. Anyway, the difficulty of understanding geometric quantization will be far beyond resolving this issue. linas 23:17, 5 October 2005 (UTC)

[edit] discussion at Wikipedia talk:WikiProject Mathematics/related articles

This article is part of a series of closely related articles for which I would like to clarify the interrelations. Please contribute your ideas at Wikipedia talk:WikiProject Mathematics/related articles. --MarSch 14:12, 12 Jun 2005 (UTC)