nLab Igor Khavkine

Igor Khavkine is a mathematical physicist working on field theory.

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Selected publications

A review and careful re-analysis of covariant phase spaces in local Lagrangian field theory:

• Igor Khavkine: Covariant phase space, constraints, gauge and the Peierls formula, International Journal of Modern Physics A 29 (2014) (arXiv:1402.1282, doi:10.1142/s0217751x14300099)

Solving the existence problem of local gauge invariant observables in general relativity by showing that while these do not exist as global functions, they do exist as a sheaf of functions on covariant phase space:

• Igor Khavkine, Local and gauge invariant observables in gravity, Class. Quantum Grav. 32 185019, 2015 (arXiv:1503.03754, CQG+, pdf slides for talk at Operator and Geometric Analysis on Quantum Theory Levico Terme, Italy, September 2014)

On AQFT on curved spacetimes and its Hadamard states:

• Igor Khavkine, Valter Moretti, Algebraic QFT in Curved Spacetime and quasifree Hadamard states: an introduction, Chapter 5 in: Romeo Brunetti et al. (eds.) Advances in Algebraic Quantum Field Theory Springer (2015) [doi:10.1007/978-3-319-21353-8]

On higher gauge fields viewed through the variational bicomplex:

• Igor Khavkine, Topology, rigid cosymmetries and linearization instability in higher gauge theories, Annales Henri Poincaré 16 (2015) 255–288, [arXiv:1303.2406, doi:10.1007/s00023-014-0321-9]

On jet comonads:

• Igor Khavkine, Urs Schreiber, Synthetic geometry of differential equations: I. Jets and comonad structure (arXiv:1701.06238)

On the Peierls bracket:

• Vinícius Bernardes, Theodore Erler, Atakan Hilmi Fırat, Igor Khavkine: Poisson bracket and $L_\infty$ algebras [arXiv:2606.30630]

Related entries

• Green hyperbolic partial differential equation

• conal manifold

• jet comonad

category: people