Harmonic Maps and Differential Geometry: A Harmonic Map Fest

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Various definitions of orientability and the proof of their equivalence. The uniqueness of this text in combining geometric topology and differential geometry lies in its unifying thread: the notion of a surface. Modules: tensor product, symmetric and exterior algebras and induced maps, exact functors, projective and injective modules, finitely generated modules over a Principal Ideal Domain with application to canonical forms of a matrix over a field, elementary theory of group representations.

Pages: 284

Publisher: Amer Mathematical Society (May 29, 2011)

ISBN: 0821849875

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