A Homological Casson Type Invariant of Knotoids

Invariants of Multi-linkoids

“…Intrinsic invariants of knotoids, as well as invariants induced from classical and virtual knot invariants have been studied by many researchers. See [3][4][5][14][15][16]19,20,25,26,29,36,39]. Turaev showed that knotoids in S 2 are in one-to-one correspondence with simple Θ-curves and multi-knotoids in S 2 , immersions of the unit interval and a finite number of circles in S 2 , are in one-to-one correspondence with simple theta-links [39].…”