Calculus on symplectic manifolds

Investor logo

Warning

This publication doesn't include Faculty of Sports Studies. It includes Faculty of Science. Official publication website can be found on muni.cz.
Authors

EASTWOOD Michael George SLOVÁK Jan

Year of publication 2018
Type Article in Periodical
Magazine / Source Archivum Mathematicum
MU Faculty or unit

Faculty of Science

Citation
Web https://dml.cz/bitstream/handle/10338.dmlcz/147504/ArchMathRetro_054-2018-5_3.pdf
Doi http://dx.doi.org/10.5817/AM2018-5-265
Keywords symplectic structure;Kähler structure;tractor calculus;exact complex;BGG machinery
Description On a symplectic manifold, there is a natural elliptic complex replacing the de Rham complex. It can be coupled to a vector bundle with connection and, when the curvature of this connection is constrained to be a multiple of the symplectic form, we find a new complex. In particular, on complex projective space with its Fubini–Study form and connection, we can build a series of differential complexes akin to the Bernstein–Gelfand–Gelfand complexes from parabolic differential geometry.
Related projects:

You are running an old browser version. We recommend updating your browser to its latest version.

More info