MODERN DIFFERENTIAL GEOMETRY IN GAUGE THEORIES

By LINDA CLARK

1 THE RUDIMENTS OF ABSTRACT DIFFERENTIAL GEOMETRY 2 ELEMENTARY PARTICLES: SHEAF-THEORETIC CLASSIFICATION, BY SPIN-STRUCTURE, ACCORDING TO SELESNICK’S CORRESPONDENCE PRINCIPLE 3 ELECTROMAGNETISM 4 COHOMOLOGICAL CLASSIFICATION OF MAXWELL AND HERMITIAN MAXWELL FIELDS 5 GEOMETRIC PREQUANTIZATION 6 REFERENCES