Special Lagrangian cycles and Calabi-Yau transitions
Differential Geometry
2023-07-05 v1 High Energy Physics - Theory
Abstract
We construct special Lagrangian 3-spheres in non-K\"ahler compact threefolds equipped with the Fu-Li-Yau geometry. These non-K\"ahler geometries emerge from topological transitions of compact Calabi-Yau threefolds. From this point of view, a conifold transition exchanges holomorphic 2-cycles for special Lagrangian 3-cycles.
Keywords
Cite
@article{arxiv.2111.10355,
title = {Special Lagrangian cycles and Calabi-Yau transitions},
author = {Tristan C. Collins and Sergei Gukov and Sebastien Picard and Shing-Tung Yau},
journal= {arXiv preprint arXiv:2111.10355},
year = {2023}
}
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36 pages