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• CommentRowNumber1.
• CommentAuthorfpaugam
• CommentTimeJun 18th 2011
I have updated the reference section on BV formalism by the following:

i think the Beilinson-Drinfeld book does not treat the classical BV formalism in full generality, even if
they give a natural language to formalize this (pseudo-tensor, i.e., local operations).

I changed the corresponding references by saying they give a formalism for quantum BV on algebraic curves.
The general quantum BV formalism is being studied by Costello-Gwilliam and the formalism of chiral algebras
in higher dimension that has to be used to generalize Beilinson-Drinfeld to higher dimension is being studied
by Gaitsgory-Francis in their Chiral Koszul duality article (using infinity categorical localizations to replace model category
tools for homotopy theory, that are not directly available).

I also precised the reference to my article about this that uses the language of Beilinson-Drinfeld book and particularly
local operations, to deal with classical BV formalism for general gauge theories. Beilinson-Drinfeld only treat the
classical BRST formalism and not classical BV i think (at least not for general base manifold, only for curves).
• CommentRowNumber2.
• CommentAuthorUrs
• CommentTimeJun 18th 2011
• (edited Jun 18th 2011)

Thanks! I should say that I am aware that this entry is very preliminary. Maybe eventually we’ll find the time to bring it into better shape.

Thanks in particular for the pointer to Garsgory-Francis. I had heard of this, but had not seen it yet. I’ll have a look. (By the way, our Person-entries are usually titled by FirstName+LastName, so entries Dennis Gaitsgory and John Francis exist, though they don’t currently redirect just the last names.)

• CommentRowNumber3.
• CommentAuthorzskoda
• CommentTimeJun 19th 2011

One-name redirects of persons should be, in my ethiquette, be used only when it is likely that $n$Lab will not have pages on other names with the same family name. For example, it does not look that there is another “Kapranov” or another “Lurie” of importance of $n$Lab, but “Gelfand” is ambiguous – Israel Gelfand and Sergei Gelfand (the coauthor of the Homological algebra book with Manin and the son of I. M. Gel’fand and it gets much worse if we use it for names like “Smith” or alike. “Segal” also refers to various important scientists of our interest including especially Graeme Segal and Irving Segal.