Lifting Lagrangian immersions in $\mathbb{C} P^{n-1}$ to Lagrangian cones in $\mathbb{C}^n$

التفاصيل البيبلوغرافية
العنوان: Lifting Lagrangian immersions in $\mathbb{C} P^{n-1}$ to Lagrangian cones in $\mathbb{C}^n$
المؤلفون: Baldridge, Scott, McCarty, Ben, Vela-Vick, David Shea
المصدر: Open Book Series 5 (2022) 43-79
سنة النشر: 2017
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Geometric Topology, 57R17, 53D17, 53D35
الوصف: 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.
Comment: 28 Pages, 7 figures
نوع الوثيقة: Working Paper
DOI: 10.2140/obs.2022.5.43
URL الوصول: http://arxiv.org/abs/1708.09048
رقم الأكسشن: edsarx.1708.09048
قاعدة البيانات: arXiv