Differential Geometry

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books

Geometry, Topology and Physics by M. Nakahara (2nd ed., IOP Publishing, 2003)Preparation for Gauge Theory by George Svetlichny math-ph/9902027
Algebraic Topology'' by Allen Hatcher (CUP, 2002) is downloadable from the webpage for the book

reviews

Topology of Fibre bundles and Global Aspects of Gauge Theories by Andres Collinucci, Alexander Wijns (hep-th/0611201, abs, ps, pdf, 42 pages, 4 figures,)
Preparation for Gauge Theory by George Svetlichny (math-ph/9902027, abs, ps, pdf, 97 pages)

Allen Hatcher's website has his books on Algebraic Topology, Vector Bundles and K-Theory, Spectral Sequences in Algebraic Topology and 3-Manifolds.

Nigel Hitchin's Geometry of Surfaces course notes

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