This question has been hotly contested for ages.
Calderon & Mohazzabi $ ^{[1]} $ give an excellent summation of the various theories proposed through the years to explain why ice is so slippery in their paper "Premelting, Pressure Melting, and Regelation of ice revisited"
They offer both theoretical and experimental evidence that neither pressure melting nor friction melting alone explain the phenomenon and conclude from atomic force microscopy, among other evidence, that there is a pre-melting Quasi-Liquid surface layer with special properties - This was originally proposed by Faraday and Thompson back in the 1850s - that, in conjuxtion with some pressure melting, make ice skating possible.
Actually they point to other research that shows ice is not the only solid behaving differently on the surface when near its melting point. The main reasons we notice ice is because it is one of the few substances we encounter that is near its melting point when we do encounter it and its abundance.
Ski-ing is also helped along by friction melting once movement starts.The weighted wire cutting through the ice, however, is pressure melting and regelation.
Another paper that summarises previous research well is that by Dash et. al. $ ^{[2]} $
Both papers referenced also give a good set of references for further reading.
References
- Calderon, C. and Mohazzabi, P. (2018) "Premelting, Pressure Melting, and Regelation of Ice Revisited." Journal of Applied Mathematics and Physics, 6, 2181-2191.
https://doi.org/10.4236/jamp.2018.611183
Preview/read online at : https://www.researchgate.net/publication/328766489_Premelting_Pressure_Melting_and_Regelation_of_Ice_Revisited
- Drake, J.G., Fu, H. and Wettlaufer, J.S. (1995) "The Premelting of Ice and Its Environmental Consequences." Reports on Progress in Physics,58, 115. es. Reports on Progress in
Physics,58, 115.
https://doi.org/10.1088/0034-4885/58/1/003