CORDIS Project
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This project advances research in symplectic geometry, focusing on singular reduction in various geometric contexts. It aims to explore the local geometry of Hamiltonian actions and their applications, contributing to the understanding of dynamics in Hamiltonian systems.
In this project I intend to substantially advance research in different fields in contemporary symplectic geometry.
The project is articulated in five sections:
A.
Singular symplectic and Poisson reduction of cotangent bundles. I will focus in an unfinished topic in the theory of singular reduction: its application to cotangent bundles. I will study the fibered structure of the singular reduced spaces in the Poisson and symplectic cases. B.
Singular reduction in generalized complex geometry.
In…
THE UNIVERSITY OF MANCHESTER
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