(Re)constructing Lie groupoids from their bisections and applications to prequantisation (Q344177)

From MaRDI portal





scientific article; zbMATH DE number 6655152
Language Label Description Also known as
English
(Re)constructing Lie groupoids from their bisections and applications to prequantisation
scientific article; zbMATH DE number 6655152

    Statements

    (Re)constructing Lie groupoids from their bisections and applications to prequantisation (English)
    0 references
    0 references
    0 references
    22 November 2016
    0 references
    The authors study the relation between the geometry of Lie groupoids over a compact manifold, and the geometry of their infinite-dimensional bisection Lie groups. They give an application of this relation to prequantisation of (pre)symplectic manifolds.
    0 references
    global analysis
    0 references
    Lie groupoid
    0 references
    infinite-dimensional Lie group
    0 references
    mapping space
    0 references
    bisection
    0 references
    prequantisation
    0 references
    homotopy groups of diffeomorphism groups
    0 references

    Identifiers

    0 references
    0 references
    0 references
    0 references
    0 references
    0 references
    0 references
    0 references
    0 references
    0 references
    0 references