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math-ph2025
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 fo…
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…