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- W1661094792 abstract "Following the works of Alexandrov, Mironov and Morozov, we show that the symplectic invariants of cite{EOinvariants} built from a given spectral curve satisfy a set of Virasoro constraints associated to each pole of the differential form $ydx$ and each zero of $dx$ . We then show that they satisfy the same constraints as the partition function of the Matrix M-theory defined by Alexandrov, Mironov and Morozov. The duality between the different matrix models of this theory is made clear as a special case of dualities between symplectic invariants. Indeed, a symplectic invariant admits two decomposition: as a product of Kontsevich integrals on the one hand, and as a product of 1 hermitian matrix integral on the other hand. These two decompositions can be though of as Givental formulae for the KP tau functions. Comment: 19 pages" @default.
- W1661094792 created "2016-06-24" @default.
- W1661094792 creator A5000035564 @default.
- W1661094792 date "2008-08-05" @default.
- W1661094792 modified "2023-09-27" @default.
- W1661094792 title "Symplectic invariants, Virasoro constraints and Givental decomposition" @default.
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