Geodesic
Parabolic Conformally Symplectic Structures. III: Invariant Differential Operators and Complexes
Documenta mathematica, Tome 24 (2019), pp. 2203-2240
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This is the last part of a series of articles on a family of geometric structures (PACS-structures) which all have an underlying almost conformally symplectic structure. While the first part of the series was devoted to the general study of these structures, the second part focused on the case that the underlying structure is conformally symplectic (PCS-structures). In that case, we obtained a close relation to parabolic contact structures via a concept of parabolic contactification. It was also shown that special symplectic connections (and thus all connections of exotic symplectic holonomy) arise as the canonical connection of such a structure.
DOI : 10.4171/dm/724
Classification : 53C10, 53C15, 53C55, 53D05, 53D10, 58A10, 58J10
Mots-clés : parabolic geometry, conformally symplectic structure, invariant differential operator, differential complex, BGG sequence 
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     author = {Andreas \v{C}ap and Tom\'a\v{s} Sala\v{c}},
     title = {Parabolic {Conformally} {Symplectic} {Structures.} {III:} {Invariant} {Differential} {Operators} and {Complexes}},
     journal = {Documenta mathematica},
     pages = {2203--2240},
     year = {2019},
     volume = {24},
     doi = {10.4171/dm/724},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/724/}
}
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Andreas Čap; Tomáš Salač. Parabolic Conformally Symplectic Structures. III: Invariant Differential Operators and Complexes. Documenta mathematica, Tome 24 (2019), pp. 2203-2240. doi: 10.4171/dm/724

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