3 papers
math.DG2025
An Introduction to Calabi-Yau Manifolds
Aidan Patterson
The goal of this paper is to develop the theory of Courant algebroids with integrable para-Hermitian vector bundle structures by invoking the theory of Lie bialgebroids. We conside…
math.DG2025
Para-Holomorphic Algebroids and Para-Complex Connections
Aidan Patterson
The goal of this paper is to develop the theory of Courant algebroids with integrable para-Hermitian vector bundle structures by invoking the theory of Lie bialgebroids. We conside…
math.SG2021
A local normal form for Hamiltonian actions of compact semisimple Poisson-Lie groups
Megumi Harada, Jeremy Lane, Aidan Patterson
The main contribution of this manuscript is a local normal form for Hamiltonian actions of Poisson-Lie groups on a symplectic manifold equipped with an -valued moment map,…