V. Turchin

most citedThe rational homotopy of mapping spaces of E

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35 citations · 39 across the 2 of their papers we have counts for

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math.AT2020★ 4 cited

On the homotopy type of the spaces of spherical knots in $R^{n}$

Victor Turchin, Thomas Willwacher

We study the spaces of embeddings $S^{m} ↪ R^{n}$ and those of long embeddings $R^{m} ↪ R^{n}$ , i.e. embeddings of a fixed behavior outside a compact set. More pr…

math.AT2020

On the rational homotopy type of embedding spaces of manifolds in $R^{n}$

Benoit Fresse, Victor Turchin, Thomas Willwacher

We study the spaces of embeddings of manifolds in a Euclidean space. More precisely we look at the homotopy fiber of the inclusion of these spaces to the spaces of immersions. As a…

math.AT2017

Cycle index sum for non-k-equal configurations

Keely Grossnickle, Victor Turchin

We compute the cycle index sum of the symmetric group action on the homology of the configuration spaces of points in a Euclidean space with the condition that no $k$ of them are e…

On the homotopy type of the spaces of spherical knots in Rn

On the rational homotopy type of embedding spaces of manifolds in Rn

Cycle index sum for non-k-equal configurations

On the homotopy type of the spaces of spherical knots in $R^{n}$

On the rational homotopy type of embedding spaces of manifolds in $R^{n}$