Research output: Contribution to journal › Article

Journal | COMMUNICATIONS IN MATHEMATICAL PHYSICS |
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Date | Published - 1 Jul 2012 |

Issue number | 1 |

Volume | 314 |

Number of pages | 35 |

Pages (from-to) | 93-127 |

Original language | English |

We develop the Batalin-Vilkovisky formalism for classical field theory on generic globally hyperbolic spacetimes. A crucial aspect of our treatment is the incorporation of the principle of local covariance which amounts to formulate the theory without reference to a distinguished spacetime. In particular, this allows a homological construction of the Poisson algebra of observables in classical gravity. Our methods heavily rely on the differential geometry of configuration spaces of classical fields.

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