Other formats:
BibTeX
LaTeX
RIS
@article{1527018, author = {Eastwood, Michael George and Slovák, Jan}, article_location = {Brno}, article_number = {5}, doi = {http://dx.doi.org/10.5817/AM2018-5-265}, keywords = {symplectic structure;Kähler structure;tractor calculus;exact complex;BGG machinery}, language = {eng}, issn = {1212-5059}, journal = {Archivum Mathematicum}, title = {Calculus on symplectic manifolds}, url = {https://dml.cz/bitstream/handle/10338.dmlcz/147504/ArchMathRetro_054-2018-5_3.pdf}, volume = {54 (2018)}, year = {2018} }
TY - JOUR ID - 1527018 AU - Eastwood, Michael George - Slovák, Jan PY - 2018 TI - Calculus on symplectic manifolds JF - Archivum Mathematicum VL - 54 (2018) IS - 5 SP - 265-280 EP - 265-280 PB - Masarykova Universita SN - 12125059 KW - symplectic structure;Kähler structure;tractor calculus;exact complex;BGG machinery UR - https://dml.cz/bitstream/handle/10338.dmlcz/147504/ArchMathRetro_054-2018-5_3.pdf L2 - https://dml.cz/bitstream/handle/10338.dmlcz/147504/ArchMathRetro_054-2018-5_3.pdf N2 - 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. ER -
EASTWOOD, Michael George and Jan SLOVÁK. Calculus on symplectic manifolds. \textit{Archivum Mathematicum}. Brno: Masarykova Universita, 2018, 54 (2018), No~5, p.~265-280. ISSN~1212-5059. Available from: https://dx.doi.org/10.5817/AM2018-5-265.
|