Title: Lifting Lagrangian immersions in $\mathbb{C} P^{n-1}$ to Lagrangian cones in $\mathbb{C}^n$
Abstract: In this paper we show how to lift Lagrangian immersions in $\mathbb{C} P^{n-1}$ to produce Lagrangian cones in $\mathbb{C} ^n$, and use this process to produce several families of examples of Lagrangian cones and special Lagrangian cones. Moreover we show how to produce Lagrangian cones, isotopic to the Harvey-Lawson and trivial cones, whose projections to $\mathbb{C} P^{n-1}$ are immersions with few transverse double points.
Publication Year: 2017
Publication Date: 2017-08-29
Language: en
Type: preprint
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