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Journal of Lie Theory 25 (2015), No. 4, 1089--1124
Copyright Heldermann Verlag 2015

Transfert, cap-produit et dualité de Poincaré en homologie et cohomologie des groupes de Lie réels

Philippe Blanc
CNRS - I2M - UMR7373, Site Sud - Campus de Luminy, Case 907, 13288 Marseille cedex 9, France

Let G be a real Lie group with finitely many connected components and let Γ be a cocompact subgroup of G. We define the transfer from Γ to G in the homological and cohomological theory of differentiable modules and we show that the Poincaré duality identifies homological restriction and cohomological transfer by proving a transfer formula.

Keywords: Homology, transfer, Poincare duality, real Lie groups.

MSC: 57T10, 20J05, 57P10, 55R12

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