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Logarithmic Poisson cohomology: example of calculation and application to prequantization
Logarithmic Poisson cohomology application prequantization
2011/2/24
In this paper, we introduce the notions of logarithmic Poisson structure
and logarithmic principal Poisson structure; we prove that the latter
induces a representation by logarithmic derivation of t...
Quillen bundle and Geometric Prequantization of Non-Abelian Vortices on a Riemann surface
Quillen bundle Geometric Prequantization Non-Abelian Vortices Riemann surface
2011/3/3
In this paper we prequantize the moduli space of non-abelian vortices.We explicitly calculate the symplectic form arising from the L2 metric and we construct a prequantum line bundle whose curvature i...
2-plectic geometry, Courant algebroids, and categorified prequantization
2-plectic geometry Courant algebroids categorified prequantization
2010/12/7
A 2-plectic manifold is a manifold equipped with a closed nondegenerate 3-form, just as a symplectic manifold is equipped with a closed nondegenerate 2-form. In 2-plectic geometry we meet higher analo...