nLab Ilya Shapiro

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Selected writings

On 1-twisted de Rham cohomology:

• Albert Schwarz, Ilya Shapiro, Twisted de Rham cohomology, homological definition of the integral and “Physics over a ring”, Nucl. Phys. B 809 (2009) 547-560 [arXiv:0809.0086, [doi:10.1016/j.nuclphysb.2008.10.005]

On quantum gravity:

• C. Bambi, L. Modesto, Ilya Shapiro: Handbook of Quantum Gravity, Springer (expected in 2023)

On perturbative quantum gravity:

• Ilya L. Shapiro, The background information about perturbative quantum gravity, in: Handbook of Quantum Gravity, Springer (2023) [arXiv:2210.12319]

On gauge invariant renormalization of perturbative quantum gravity:

• Petr M. Lavrov, Ilya Shapiro, Gauge invariant renormalizability of quantum gravity, in Handbook of Quantum Gravity, Springer (2023) [arXiv:2210.09271]

category: people