Real Lagrangians in Calabi-Yau threefolds

被引：5
作者：
Arguz, Hulya [1 ]
Prince, Thomas [2 ]
机构：
[1] Univ Versailles St Quentin En Yvelines, Lab Math Versailles, 45 Ave Etats Unis, F-78035 Versailles, France
[2] Univ Oxford, Math Inst, Andrew Wiles Bldg,Woodstock Rd, Oxford OX2 6GG, England
来源：
PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY | 2020年 / 121卷 / 02期
基金：
欧洲研究理事会;
关键词：
14D06; 14J33; 53D12; 14P25; 14Q15 (primary); AFFINE GEOMETRY; MIRROR SYMMETRY; COHOMOLOGY; DUALITY;
D O I：
10.1112/plms.12324
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We compute the mod 2 cohomology groups of real Lagrangians in torus fibrations on Calabi-Yau threefolds constructed by Gross. To do this we study a long exact sequence introduced by Castano-Bernard-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.
引用
收藏
页码：287 / 311
页数：25
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