  We extend the notion of Poincar\'e duality in KK-theory to the setting of
quantum group actions. An important ingredient in our approach is the
replacement of ordinary tensor products by braided tensor products. Along the
way we discuss general properties of equivariant KK-theory for locally compact
quantum groups, including the construction of exterior products. As an example,
we prove that the standard Podle\'s sphere is equivariantly Poincar\'e dual to
itself.
