Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
Results
Showing 1 to 8 of 8 for “"Poisson geometry"”.
-
Stacks in Poisson geometry
… The last chapter discusses a remarkable class of Poisson manifolds, called b-symplectic manifolds, giving a classification of them up to Morita equivalence and computing their Picard group.
-
Analytic and holomorphic structures in Lie groupoids, algebroids, and Poisson geometry
Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2025-10-20 without embargo terms
-
Lie Theory in Generalized Kähler Geometry
Generalized Kähler (GK) geometry was discovered in the study of N = (2, 2) supersymmetric σ-models. In this thesis we develop a new approach to GK geometry by addressing the integration problem of GK structures. To tackle this problem, we first reformulate the definition of GK structures in terms …
-
Properties of Polynomial Identity Quantized Weyl Algebras
… Weyl algebras we begin with a brief survey of Poisson geometry and quantum cluster algebras, before using these as tools to classify the possible centers of such algebras in two different ways. In doing so we explicitly calculate the formulas of the discriminants of these algebras in terms of a …
-
Deformations of the Hilbert scheme of points on a del Pezzo surface
… S$ carries a generically symplectic holomorphic Poisson structure. Moreover, the generic deformation of Hilb$^nS$ has a $(k+2)$-dimensional moduli space, where the del Pezzo surface is the blow up of projective plane at $k$ sufficiently general points; and each of the fibers is of the form that …
-
Generically nondegenerate Poisson structures and their Lie algebroids
In this dissertation, generically nondegenerate Poisson manifolds are studied by lifting them to a Lie algebroid where they can be understood as nondegenerate. This allows standard tools of symplectic geometry to be applied to concretely describe the behavior of the Poisson structure. This study …
-
Morita Equivalence and Generalized Kähler Geometry
Generalized Kähler (GK) geometry is a generalization of Kähler geometry, which arises in the study of supersymmetric sigma models in physics. In this thesis, we solve the problem of determining the underlying degrees of freedom for the class of GK structures of symplectic type. This is achieved by …
-
Aspects of Generalized Geometry: Branes with Boundary, Blow-ups, Brackets and Bundles
This thesis explores aspects of generalized geometry, a geometric framework introduced by Hitchin and Gualtieri in the early 2000s. In the first part, we introduce a new class of submanifolds in stable generalized complex manifolds, so-called Lagrangian branes with boundary. We establish a …