Article (Scientific journals)
Rozansky-Witten-type invariants from symplectic Lie pairs
Voglaire, Yannick; Xu, Ping
2014In Communications in Mathematical Physics
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Abstract :
[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.
Disciplines :
Mathematics
Author, co-author :
Voglaire, Yannick ;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
Xu, Ping;  The Pennsylvania State University - PSU > Mathematics Department
External co-authors :
yes
Language :
English
Title :
Rozansky-Witten-type invariants from symplectic Lie pairs
Publication date :
December 2014
Journal title :
Communications in Mathematical Physics
ISSN :
1432-0916
Publisher :
Springer Science & Business Media B.V.
Peer reviewed :
Peer Reviewed verified by ORBi
Available on ORBilu :
since 20 January 2014

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