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math.GT2026
Linking invariants of spatial graphs
E. Alkin, Yu. Khromin, A. Skopenkov
We recall definitions of linking numbers and Wu--Simon numbers for spatial graphs. We expose a `converse' to the Conway--Gordon--Sachs theorem (i.e. description of linking function…
math.HO2026
The winding number of a closed curve around a point
E. Alkin, A. Miroshnikov, A. Skopenkov
In this expository note we present an elementary direct rigorous definition and the simplest properties of the winding number. This definition is simpler than the one given in some…