By Dominic D. Joyce
This graduate point textual content covers a thrilling and energetic region of analysis on the crossroads of a number of various fields in arithmetic and Physics. In arithmetic it contains Differential Geometry, complicated Algebraic Geometry, Symplectic Geometry, and in Physics String idea and reflect Symmetry. Drawing broadly at the author's earlier paintings, the textual content explains the complicated arithmetic concerned easily and obviously to either mathematicians and physicists. beginning with the elemental geometry of connections, curvature, advanced and Kähler constructions compatible for starting graduate scholars, the textual content covers seminal effects resembling Yau's facts of the Calabi Conjecture, and takes the reader all of the option to the frontiers of present examine in calibrated geometry, giving many open problems.