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arXiv · 1310.4432

Rozansky-Witten-type invariants from symplectic Lie pairs

Yannick Voglaire·Ping Xu
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Abstract

We introduce symplectic structures on "Lie pairs" of (real or complex) algebroids as studied by Chen, Stienon and the second author (From Atiyah classes to homotopy Leibniz algebras, arXiv:1204.1075), encompassing homogeneous symplectic spaces, symplectic manifolds with a $\mathfrak g$-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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BibTeXRIS

Yannick Voglaire, Ping Xu. 2015-01-17. Rozansky-Witten-type invariants from symplectic Lie pairs. https://doi.org/10.1007/s00220-014-2221-8

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