Riemannian Holonomy Groups and Calibrated Geometry

Riemannian Holonomy Groups and Calibrated Geometry by Dominic D. Joyce
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ISBN
9780191526978
Date Released
Binding
eBook
 
 

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This graduate level text covers an exciting and active area of research at the crossroads of several different fields in Mathematics and Physics. In Mathematics it involves Differential Geometry, Complex Algebraic Geometry, Symplectic Geometry, and in Physics String Theory and Mirror Symmetry. Drawing extensively on the author's previous work, the text explains the advanced mathematics involved simply and clearly to both mathematicians and physicists. Starting withthe basic geometry of connections, curvature, complex and Kähler structures suitable for beginning graduate students, the text covers seminal results such as Yau's proof of the Calabi Conjecture, and takes the reader all the way to the frontiers of current research in calibrated geometry, givingmany open problems.
ISBN:
9780191526978
Publication Date:
22 / 02 / 2007

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