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The generalized Harer conjecture for the homology triviality

The generalized Harer conjecture for the homology triviality

Abstract The classical Harer conjecture states the stable homology triviality of the canonical embedding , which was proved by Song and Tillmann. The main part of the proof is to show that , induced from is a double‐loop space map. In this paper, we give a proof of the generalized …