Lifting Lagrangian immersions in $\mathbb{C} P^{n-1}$ to Lagrangian cones in $\mathbb{C}^n$
Geometric Topology
2022-11-02 v1
Abstract
In this paper we show how to lift Lagrangian immersions in to produce Lagrangian cones in , 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 are immersions with few transverse double points.
Keywords
Cite
@article{arxiv.1708.09048,
title = {Lifting Lagrangian immersions in $\mathbb{C} P^{n-1}$ to Lagrangian cones in $\mathbb{C}^n$},
author = {Scott Baldridge and Ben McCarty and David Shea Vela-Vick},
journal= {arXiv preprint arXiv:1708.09048},
year = {2022}
}
Comments
28 Pages, 7 figures