• Corpus ID: 21707053

The Structure of 2 D Semisimple Field Theories

  title={The Structure of 2 D Semisimple Field Theories},
  author={Constantin Teleman},
I classify the cohomological 2D field theories based on a semi-simple complex Frobenius algebra A. They are controlled by a linear combination of κ-classes and by an extension datum to the Deligne-Mumford boundary. Their effect on the GromovWitten potential is described by Givental’s Fock space formulae. This leads to the reconstruction of Gromov-Witten (ancestor) invariants from the quantum cup-product at a single semi-simple point, confirming Givental’s higher-genus reconstruction conjecture… 

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