The generalization of the traditional notion to symplectomorphism group of a symplectic manifold to n-plectic spaces in higher geometry
For a cohesive (∞,1)-topos equipped with differential cohesion, let by an ∞-group equipped with braided ∞-group structure. Write for the corresponding moduli ∞-stack of -principal ∞-connections (see there). For a -principal ∞-connection on some object , which here we call a prequantum ∞-bundle. the corresponding quantomorphism ∞-group by definition comes with a canonical homomorphism
to the automorphism ∞-group of . The Hamiltonian symplectomorphism -group is the 1-image of this map
higher and integrated Kostant-Souriau extensions:
(∞-group extension of ∞-group of bisections of higher Atiyah groupoid for -principal ∞-connection)
(extension are listed for sufficiently connected )
Domenico Fiorenza, Chris Rogers, Urs Schreiber, Higher prequantum geometry?
Last revised on November 2, 2022 at 20:40:23. See the history of this page for a list of all contributions to it.