A Note on Schoen's Calabi--Yau Threefolds

Hülya Argüz; Thomas Prince

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arXiv · 1807.10172

A Note on Schoen's Calabi--Yau Threefolds

Hülya Argüz·Thomas Prince

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Abstract

We study the topology of a real Lagrangian in Schoen's Calabi--Yau threefold $X$ and compute its mod $2$ cohomology using two methods; first via a concrete Mayer--Vietoris calculation, then by an exact sequence relating the mod $2$ cohomology of the real Lagrangian to the cohomology of $X$. We conclude that these two methods agree. This in particular corrects a previous computation made by Casta\~{n}o-Bernard--Matessi.

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Hülya Argüz, Thomas Prince. 2018-07-26. A Note on Schoen's Calabi--Yau Threefolds. https://arxiv.org/abs/1807.10172

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