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math.GT2020
Homological Casson type invariant of knotoids
Vladimir Tarkaev
We consider an analogue of well-known Casson knot invariant for knotoids. We start with a direct analogue of the classical construction which gives two different integer-valued kno…
math.GT2020
A relation between the crossing number and the height of a knotoid
Philipp Korablev, Vladimir Tarkaev
Knotoids are open ended knot diagrams regarded up to Reidemeister moves and isotopies. The notion is introduced by V.~Turaev in 2012. Two most important numeric characteristics of…