Models for knot spaces and Atiyah duality

23 Mar 2020 Moriya Syunji

Let $\mathrm{Emb}(S^1,M)$ be the space of smooth embeddings from the circle to a closed manifold $M$ of dimension $\geq 4$. We study a cosimplicial model of $\mathrm{Emb}(S^1,M)$ in stable categories, using a spectral version of Poincar\'e-Lefschetz duality called Atiyah duality... (read more)

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  • ALGEBRAIC TOPOLOGY
  • GEOMETRIC TOPOLOGY