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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 with the basic geometry of connections,
curvature, complex and Kahler 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, giving
many open problems.
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 with the basic geometry of connections,
curvature, complex and Kahler 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, giving
many open problems.
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