Victor Turchin

collaborators

3 papers

math.GT2025

Goussarov-Polyak-Viro type formulas for $(4 k - 1)$ -dimensional knots and links in $R^{6 k}$

Neeti Gauniyal, Victor Turchin

We produce combinatorial formulas for invariants of smooth embeddings of $(2 ℓ - 1)$ -spheres into $R^{3 ℓ}$ for $ℓ \geq 2$ . Furthermore, we obtain such a formula for t…

math.AT2024

Mapping spaces of Swiss cheese operads

Victor Turchin

We show that the color restriction map $Op^{h} (SC_{m}, SC_{n}) \to Op^{h} (E_{m - 1}, E_{n - 1})$ from the derived mapping space of…

math.GT2024

On the smoothing theory delooping of disc diffeomorphism and embedding spaces

Paolo Salvatore, Victor Turchin

The celebrated Morlet-Burghelea-Lashof-Kirby-Siebenmann smoothing theory theorem states that the group $Diff_{\partial} (D^{n})$ of diffeomorphisms of a disc $D^{n}$ relative to…

Goussarov-Polyak-Viro type formulas for (4k−1)-dimensional knots and links in R6k

Mapping spaces of Swiss cheese operads

On the smoothing theory delooping of disc diffeomorphism and embedding spaces

Goussarov-Polyak-Viro type formulas for $(4 k - 1)$ -dimensional knots and links in $R^{6 k}$