Corpus ID: 212633886

Models for knot spaces and Atiyah duality

@article{Moriya2020ModelsFK,
  title={Models for knot spaces and Atiyah duality},
  author={S. Moriya},
  journal={arXiv: Algebraic Topology},
  year={2020}
}
  • S. Moriya
  • Published 2020
  • Mathematics
  • arXiv: Algebraic Topology
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 Poincare-Lefschetz duality called Atiyah duality. We actually deal with a notion of a comodule instead of the cosimplicial model, and prove a comodule version of the duality. As an application, we introduce a new spectral sequence converging to $H^*(\mathrm{Emb}(S^1,M… Expand
3 Citations

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