An obstructed bundle on a Calabi-Yau 3-fold
Algebraic Geometry
2016-05-10 v2 High Energy Physics - Theory
Abstract
Mirror symmetry suggests that on a Calabi-Yau 3-fold moduli spaces of stable bundles, especially those with degree zero and indivisible Chern class, might be smooth (i.e. unobstructed, though perhaps of too high a dimension). This is because smoothly embedded special lagrangian cycles in the mirror have unobstructed deformations. As there does not seem to be a counterexample in the literature we provide one here, showing that such a Tian-Todorov-McLean-type result cannot hold.
Keywords
Cite
@article{arxiv.math/9903034,
title = {An obstructed bundle on a Calabi-Yau 3-fold},
author = {R. P. Thomas},
journal= {arXiv preprint arXiv:math/9903034},
year = {2016}
}
Comments
Corrected mistake pointed out by Yukinobu Toda