Topological conformal field theories and Calabi–Yau categories

@article{Costello2004TopologicalCF,
  title={Topological conformal field theories and Calabi–Yau categories},
  author={K. Costello},
  journal={Advances in Mathematics},
  year={2004},
  volume={210},
  pages={165-214}
}
  • K. Costello
  • Published 2004
  • Mathematics
  • Advances in Mathematics
  • Abstract This is the first of two papers which construct a purely algebraic counterpart to the theory of Gromov–Witten invariants (at all genera). These Gromov–Witten type invariants depend on a Calabi–Yau A ∞ category, which plays the role of the target in ordinary Gromov–Witten theory. When we use an appropriate A ∞ version of the derived category of coherent sheaves on a Calabi–Yau variety, this constructs the B model at all genera. When the Fukaya category of a compact symplectic manifold X… CONTINUE READING
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