Homology supported in Lagrangian submanifolds in mirror quintic threefolds
| Autor: | Garcia, Daniel López |
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| Rok vydání: | 2020 |
| Předmět: | |
| Zdroj: | Canadian Mathematical Bulletin, 11 September 2020, pp. 1 - 16 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.4153/S0008439520000776 |
| Popis: | In this note we study homological cycles in the mirror quintic Calabi-Yau threefold which can be realized by special Lagrangian submanifolds. We have used Picard-Lefschetz theory to establish the monodromy action and to study the orbit of Lagrangian vanishing cycles. For many prime numbers $p$ we can compute the orbit modulo $p$. We conjecture that the orbit in homology with coefficients in $\mathbb{Z}$ can be determined by these orbits with coefficients in $\mathbb{Z}_p$. Comment: 14 pages |
| Databáze: | arXiv |
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