• Corpus ID: 236924356

The AKSZ Construction in Derived Algebraic Geometry as an Extended Topological Field Theory

@inproceedings{Calaque2021TheAC,
  title={The AKSZ Construction in Derived Algebraic Geometry as an Extended Topological Field Theory},
  author={Damien Calaque and Rune Haugseng and Claudia I. Scheimbauer},
  year={2021}
}
We construct a family of oriented extended topological field theories using the AKSZ construction in derived algebraic geometry, which can be viewed as an algebraic and topological version of the classical AKSZ field theories that occur in physics. These have as their targets higher categories of symplectic derived stacks, with higher morphisms given by iterated Lagrangian correspondences. We define these, as well as analogous higher categories of oriented derived stacks and iterated oriented… 

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