Cohomological Analysis of Partial Differential Equations and Secondary Calculus

Focuses on the fundamentals of a theory, which is an analog of affine algebraic geometry for partial differential equations. This work describes applications of Secondary Calculus ranging from algebraic geometry to field theory, classical and quantum, including areas such as characteristic classes, differential invariants and variational calculus.

Se concentreaza pe fundamentele unei teorii, care este un analog al geometriei algebrice afine pentru ecuatii diferentiale partiale. Aceasta lucrare descrie aplicatiile calculului secundar, de la geometrie algebrica la teoria campurilor, clasica si cuantica, incluzand arii precum clase caracteristice, invarianti diferentiali si calcul variational.