Surgery obstructions on closed manifolds and the Inertia subgroup

2009/05/01 by Hambleton, Ian
#57R67 #57R75 #Algebraic Topology (math.AT) #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.0905.0104

Abstract

The Wall surgery obstruction groups have two interesting geometrically defined subgroups, consisting of the surgery obstructions between closed manifolds, and the inertial elements. We show that the inertia group I_n+1(π,w) and the closed manifold subgroup C_n+1(π,w) are equal in dimensions n+1≥ 6, for any finitely-presented group π and any orientation character w\colon π→ \cy 2.

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