Talk:Kontsevich quantization formula

missing term

Comments: There is a missing term in the formula up to second order.

to-do list

To do:

• Maybe add Moyal-Weyl product;
• Add comment about Cattaneo's Path Integral approach;
• improve formatting.

MelchiorG (talk) 08:53, 3 February 2010 (UTC)

Questions

Hi. Cool article.

1) Are there Graphes with isolated vertices? Why not? A graph with no derivation on g could still be interpreted.

Re: Yes, there are. In this case you just multiply the unmodified symbol to the total expression of the bidifferential operator.

2) What ist G_n(2)?

Re: The set of all (Kontsevich) graphs with 2 external vertices and n internal vertices labeled Π.

3) Are there thoughts on the combinatorics of Kontsevich graphs? There are a lot restrictions, so does somebody know how many graphs with respect to the order are to be drawn?

Thanks. (bzw. Danke ;) 212.186.99.222 (talk) 13:13, 9 February 2010 (UTC) Re by MelchiorG (talk) 21:02, 16 October 2010 (UTC)