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Are the two B model constructions equivalent?

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Now we have two B model constructions: Kontsevich-Baranikov (for genus 0) and Costello (for any genus). My question is, are they equal in genus 0? Or now which one is the one we want? Thanks!

This post imported from StackExchange MathOverflow at 2014-09-15 18:30 (UCT), posted by SE-user HYYY

asked Jun 24, 2010 in Theoretical Physics by HYYY (15 points) [ no revision ]
retagged Sep 15, 2014

I think this is not known...

This post imported from StackExchange MathOverflow at 2014-09-15 18:30 (UCT), posted by SE-user Kevin H. Lin

commented Jun 30, 2010 by Kevin H. Lin (0 points) [ no revision ]

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