A Lagrangian sphere which is not a vanishing cycle
Symplectic Geometry
2019-06-17 v3 Algebraic Geometry
Abstract
We give examples of Calabi-Yau threefolds containing Lagrangian spheres which are not vanishing cycles of nodal degenerations, answering a question of Donaldson in the negative.
Keywords
Cite
@article{arxiv.1812.00489,
title = {A Lagrangian sphere which is not a vanishing cycle},
author = {François Greer},
journal= {arXiv preprint arXiv:1812.00489},
year = {2019}
}
Comments
8 pages, 1 figure. More details are included in the discussion after Prop. 5 and the proof of Prop. 8. Section 4 is streamlined significantly