Universitext
2 total works
Easily accessible
Includes recent developments
Assumes very little knowledge of differentiable manifolds and functional analysis
Particular emphasis on topics related to mirror symmetry (SUSY, Kaehler-Einstein metrics, Tian-Todorov lemma)
Calabi-Yau Manifolds and Related Geometries
by Mark Gross, Daniel Huybrechts, and Dominic Joyce
This is an introduction to a very active field of research, on the boundary between mathematics and physics. It is aimed at graduate students and researchers in geometry and string theory. Proofs or sketches are given for many important results.
From the reviews:
"An excellent introduction to current research in the geometry of Calabi-Yau manifolds, hyper-Kähler manifolds, exceptional holonomy and mirror symmetry....This is an excellent and useful book." --MATHEMATICAL REVIEWS