Homological mirror symmetry for the quintic 3-fold
Symplectic Geometry
2014-11-11 v2 Algebraic Geometry
Abstract
We prove homological mirror symmetry for the quintic Calabi-Yau 3-fold. The proof follows that for the quartic surface by Seidel (arXiv:math/0310414) closely, and uses a result of Sheridan (arXiv:1012.3238). In contrast to Sheridan's approach (arXiv:1111.0632), our proof gives the compatibility of homological mirror symmetry for the projective space and its Calabi-Yau hypersurface.
Keywords
Cite
@article{arxiv.1103.4956,
title = {Homological mirror symmetry for the quintic 3-fold},
author = {Yuichi Nohara and Kazushi Ueda},
journal= {arXiv preprint arXiv:1103.4956},
year = {2014}
}
Comments
29 pages, 6 figures. v2: revised following the suggestions of the referees