book on calabi yau manifolds - MathOverflow most recent 30 from http://mathoverflow.net 2013-06-19T19:38:33Z http://mathoverflow.net/feeds/question/80207 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/80207/book-on-calabi-yau-manifolds book on calabi yau manifolds lois 2011-11-06T11:55:21Z 2011-11-06T15:43:46Z <p>hi,</p> <p>does anybody know a good book on calabi yau manifolds (i am a beginner) ? thanks in advance</p> <p>lois</p> http://mathoverflow.net/questions/80207/book-on-calabi-yau-manifolds/80209#80209 Answer by Jonny Evans for book on calabi yau manifolds Jonny Evans 2011-11-06T12:25:09Z 2011-11-06T12:25:09Z <p>Depending on how much of a beginner you are, you could begin by reading Barth-Hulek-Peters-Van de Ven paying particular attention to the section on K3 surfaces (which are 2-(complex)-dimensional Calabi-Yaus):</p> <p><a href="http://www.springer.com/mathematics/algebra/book/978-3-540-00832-3" rel="nofollow">http://www.springer.com/mathematics/algebra/book/978-3-540-00832-3</a></p> <p>For an overview, you could try:</p> <p><a href="http://www.scholarpedia.org/article/Calabi-Yau_manifold" rel="nofollow">http://www.scholarpedia.org/article/Calabi-Yau_manifold</a></p> <p>Other good and possibly relevant books include:</p> <p>Besse, Arthur L. (1987), Einstein manifolds, Ergebnisse der Mathematik und ihrer Grenzgebiete (3), 10, Berlin, New York: Springer-Verlag,</p> <p>Gross, M.; Huybrechts, D.; Joyce, Dominic (2003), Calabi–Yau manifolds and related geometries, Universitext, Berlin, New York: Springer-Verlag,</p> <p>Hübsch, Tristan (1994), Calabi–Yau Manifolds: a Bestiary for Physicists, Singapore, New York: World Scientific.</p> http://mathoverflow.net/questions/80207/book-on-calabi-yau-manifolds/80219#80219 Answer by Spiro Karigiannis for book on calabi yau manifolds Spiro Karigiannis 2011-11-06T15:43:46Z 2011-11-06T15:43:46Z <p>I would also add the following book:</p> <p><A HREF="http://books.google.ca/books?id=c3P-YUD8GZQC&amp;printsec=frontcover&amp;dq=dominic+joyce+compact+manifolds&amp;hl=en&amp;ei=oKq2TpXuEMjq0gGH3OXRBw&amp;sa=X&amp;oi=book_result&amp;ct=result&amp;resnum=1&amp;ved=0CC0Q6AEwAA#v=onepage&amp;q&amp;f=false" rel="nofollow">Dominic Joyce, Compact Manifolds with Special Holonomy</A></p> <p>The early parts of the book include an introduction to the <em>Riemannian geometry</em> of Calabi-Yau manifolds. It also includes a proof of the Calabi conjecture.</p>