  Motivated by the six dimensional formulation of Kodaira-Spencer theory for
Calabi-Yau threefolds, we formulate a two dimensional version and argue that
this is the relevant field theory for the target space of local topological
B-model with a geometry based on a Riemann surface. We show that the Ward
identities of this quantum theory is equivalent to recursion relations recently
proposed by Eynard and Orantin to solve the topological B model. Our derivation
provides a conceptual explanation of this link and reveals a hidden affine
SL(2,R) symmetry. Moreover we argue that our results provide the strongest
evidence yet of the existence of topological M theory in one higher dimension,
which in this case can be closely related to SL(2,R)Chern-Simons formulation of
three dimensional gravity.
