Home » Riemannian Holonomy Groups and Calibrated Geometry. Oxford Graduate Texts in Mathematics, Volume 12. by Dominic D. Joyce
Riemannian Holonomy Groups and Calibrated Geometry. Oxford Graduate Texts in Mathematics, Volume 12. Dominic D. Joyce

Riemannian Holonomy Groups and Calibrated Geometry. Oxford Graduate Texts in Mathematics, Volume 12.

Dominic D. Joyce

Published January 10th 2010
ISBN : 9781281149442
ebook
303 pages
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 About the Book 

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, andMoreThis 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 authors previous work, the text explains the advanced mathematics involved simply and clearly to both mathematicians and physicists. Starting with the basic geometry of connections, curvature, complex and Kahler structures suitable for beginning graduate students, the text covers seminal results such as Yaus proof of the Calabi Conjecture, and takes the reader all the way to the frontiers of current research in calibrated geometry, giving many open problems.