On the homotopy type of the spaces of spherical knots in R-n


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Date

2021

Publication Type

Journal Article

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Abstract

We study the spaces of embeddings S-m hooked right arrow R-n and those of long embeddings R-m hooked right arrow R-n, i. e. embeddings of a fixed behavior outside a compact set. More precisely, we look at the homotopy fiber of the inclusion of these spaces to the spaces of immersions. We find a natural fiber sequence relating these spaces. We also compare the L-infinity -algebras of diagrams that encode their rational homotopy type when the codimension n- m is at least 3.

Publication status

published

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Volume

14 (1)

Pages / Article No.

537 - 558

Publisher

Universität Münster

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Organisational unit

09577 - Willwacher, Thomas / Willwacher, Thomas check_circle

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Funding

678156 - A graph complex valued field theory (EC)

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