Deformation Lie groupoids built from normal bundles enable natural pushforward maps and functoriality in any suitable (co)homology theory for Lie groupoids, including a new case for equivariant twisted orbifold K-theory.
Mackenzie.Lie groupoids and Lie algebroids in differential geometry, volume 124 ofLondon Mathematical Society Lecture Note Series
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Gysin maps and wrong way functoriality via geometric deformation groupoids
Deformation Lie groupoids built from normal bundles enable natural pushforward maps and functoriality in any suitable (co)homology theory for Lie groupoids, including a new case for equivariant twisted orbifold K-theory.