Real Lagrangians in Calabi-Yau Threefolds
Algebraic Geometry
2020-03-13 v2 Symplectic Geometry
Abstract
We compute the mod cohomology groups of real Lagrangians in Calabi-Yau threefolds using well-behaved torus fibrations constructed by Gross. To do this we study a long exact sequence introduced by Casta\~{n}o-Bernard and Matessi, which relates the cohomology of the Lagrangians to the cohomology of the Calabi-Yau. We show that the connecting homomorphism in this sequence is given by the map squaring divisor classes in the mirror Calabi-Yau.
Cite
@article{arxiv.1908.06685,
title = {Real Lagrangians in Calabi-Yau Threefolds},
author = {Hülya Argüz and Thomas Prince},
journal= {arXiv preprint arXiv:1908.06685},
year = {2020}
}
Comments
31 pages, 8 figures. Improved exposition of Appendix A and corrected Example 4.11. Minor adjustments throughout