nLab Michele Schiavina (changes)

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• webpage

Selected writings

On the phase space of first-order gravity (general relativity) in a local formulation that allows to decompose spacetime into pieces and then re-glue (BV-BFV formalism):

• Michele Schiavina, BV-BFV approach to general relativity (2015) [[pdf](http://user.math.uzh.ch/cattaneo/schiavina.pdf), pdf]

• Alberto Cattaneo, Michele Schiavina, BV-BFV approach to General Relativity, Einstein-Hilbert action, J. Math. Phys. 57 023515 (2016) [[arXiv:1509.05762](https://arxiv.org/abs/1509.05762), doi:10.1063/1.4941410]

• Alberto Cattaneo, Michele Schiavina, The reduced phase space of Palatini-Cartan-Holst theory, Ann. Henri Poincaré 20 (2019) 445 [[arXiv:1707.05351](https://arxiv.org/abs/1707.05351), doi:10.1007/s00023-018-0733-z]

• Alberto Cattaneo, Michele Schiavina, BV-BFV approach to General Relativity: Palatini-Cartan-Holst action, Adv. Theor. Math. Phys. 23 (2019) 1801-1835 [[arXiv:1707.06328](https://arxiv.org/abs/1707.06328), doi:10.4310/ATMP.2019.v23.n8.a3]

• Alberto S. Cattaneo, Phase space for gravity with boundaries, Encyclopedia of Mathematical Physics (2023) [[arXiv:2307.04666](https://arxiv.org/abs/2307.04666)]

Discussion of the Nambu-Goto action and Polyakov action on worldsheets with boundary (i.e. in the generality of open strings) and cast in BV-BRST formalism:

• S. Martinoli, Michele Schiavina, BV analysis of Polyakov and Nambu–Goto theories with boundary, Lett. Math. Phys. 112 35 (2022) [[doi:10.1007/s11005-022-01526-1](https://doi.org/10.1007/s11005-022-01526-1), arXiv:2106.02983]

On the relativistic particle, and related systems, in BV-BRST formalism:

• Alberto Cattaneo, Michele Schiavina, On time, Lett. Math. Phys. 107 (2017) 375-408 [[doi:10.1007/s11005-016-0907-x](https://doi.org/10.1007/s11005-016-0907-x), arXiv:1607.02412]

On BV quantization:

• Alberto S. Cattaneo, Pavel Mnev, Michele Schiavina, BV Quantization, Encyclopedia of Mathematical Physics 2nd ed [[arXiv:2307.07761](https://arxiv.org/abs/2307.07761)]