Stat. Field Theory Course

Sheaf Theory

Ugo Bruzzo


1. Sheaves

Presheaves and sheaves. Etale' space. Natural operations on sheaves. Cech cohomology. Flabby sheaves and sheaf cohomology. Leray's theorem.

2. Spectral sequences

Filtered complexes and associated spectral sequences. The spectral sequence associated with a double complex. Applications to algebraic topology and sheaf cohomology

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