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math.GT2000
Differential 3-knots in 5-space with and without self intersections
Tobias Ekholm
Regular homotopy classes of immersions of a 3-sphere in 5-space constitute an infinite cyclic group. The classes containing embeddings form a subgroup of index 24. The obstruction…
math.GT2000
Geometric formulas for Smale invariants of codimension two immersions
Tobias Ekholm, Andras Szucs
We give three formulas expressing the Smale invariant of an immersion f of a (4k-1)-sphere into (4k+1)-space. The terms of the formulas are geometric characteristics of any generic…