Graded Riemann surfaces and Krichever-Novikov algebras
Bryant, Peter
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Bryant, Peter
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Domenico Fiorenza, Donatella Iacono, Elena Martinengo (2012)
Journal of the European Mathematical Society
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Claude Billionnet (1990)
Annales de l'I.H.P. Physique théorique
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Ionuţ Ciocan-Fontanine, Mikhail Kapranov (2001)
Annales scientifiques de l'École Normale Supérieure
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Vladimir G. Pestov (1992)
Extracta Mathematicae
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Johannes Huebschmann (2000)
Banach Center Publications
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Twilled L(ie-)R(inehart)-algebras generalize, in the Lie-Rinehart context, complex structures on smooth manifolds. An almost complex manifold determines an "almost twilled pre-LR algebra", which is a true twilled LR-algebra iff the almost complex structure is integrable. We characterize twilled LR structures in terms of certain associated differential (bi)graded Lie and G(erstenhaber)-algebras; in particular the G-algebra arising from an almost complex structure is a (strict) d(ifferential)...