Dmitry Gugnin

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20192026

most citedTopology of misorientation spaces

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

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math.AT2026

On bordism classes of symmetric products of surfaces

Georgy Chernykh, Dmitry Gugnin

We explicitly determine the complex bordism class of the $n$ -th symmetric product of a complex curve of genus $g$ . In particular, we provide an explicit formula expressing this cla…

math.AT2023

On actions of tori and quaternionic tori on products of spheres

Anton Ayzenberg, Dmitry Gugnin

In this paper we study the actions of tori (standard compact tori, as well as their quaternionic analogues) on products of spheres. It is proved that the orbit space of a specific…

math.AT2019★ 2 cited

Topology of misorientation spaces

Anton Ayzenberg, Dmitry Gugnin

Let $G_{1}$ and $G_{2}$ be discrete subgroups of $S O (3)$ . The double quotients of the form $X (G_{1}, G_{2}) = G_{1} \ S O (3) / G_{2}$ were introduced in material science under the name misor…