Authors: Giordano Colò
We try to give a formulation of Strominger-Yau-Zaslow conjecture on mirror symmetry by studying the singularities of special Lagrangian submanifolds of 3-dimensional Calabi-Yau manifolds. In this paper we’ll give the description of the boundary of the moduli space of special Lagrangian manifolds. We do this by introducing special Lagrangian cones in the more general Kähler manifolds. Then we can focus on the almost Calabi-Yau manifolds. We consider the behaviour of the Lagrangian manifolds near the conical singular points to classify them according to the way they are approximated from the asymptotic cone. Then we analyze their deformations in Calabi-Yau manifolds.
Comments: 22 Pages.
Unique-IP document downloads: 31 times
Vixra.org is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. Vixra.org will not be responsible for any consequences of actions that result from any form of use of any documents on this website.
Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.