Reference : Rozansky-Witten-type invariants from symplectic Lie pairs
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
Rozansky-Witten-type invariants from symplectic Lie pairs
Voglaire, Yannick mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Xu, Ping [The Pennsylvania State University - PSU > Mathematics Department]
Communications in Mathematical Physics
Springer Science & Business Media B.V.
Yes (verified by ORBilu)
[en] We introduce symplectic structures on “Lie pairs” of (real or complex) Lie algebroids as studied by Chen et al. (From Atiyah classes to homotopy Leibniz algebras. arXiv:1204.1075, 2012), encompassing homogeneous symplectic spaces, symplectic manifolds with a g-action, and holomorphic symplectic manifolds. We show that to each such symplectic Lie pair are associated Rozansky–Witten-type invariants of three-manifolds and knots, given respectively by weight systems on trivalent and chord diagrams.

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