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Field Theory via Higher Geometry II: Thickened Smooth Sets as Synthetic Foundations
Grigorios Giotopoulos, Hisham Sati
This is the second in a series of papers that aim to develop rigorous and most encompassing foundations for field theory, where in the first installment we laid out the natural for…
math-ph2025
Covariant Lie Derivatives and (Super-)Gravity
Grigorios Giotopoulos
The slightly subtle notion of covariant Lie derivatives of \textit{bundle-valued} differential forms is crucial in many applications in physics, notably in the computation of conse…
math-ph2025
Sheaf Topos Theory: A powerful setting for Lagrangian Field Theory
Grigorios Giotopoulos
We provide an introductory exposition to the sheaf topos theoretic description of classical field theory motivated by the rigorous description of both the variational ca…