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math.GT2001
Framed knots in 3-manifolds and affine self-linking numbers
Vladimir Chernov
The number of non-isotopic framed knots that correspond to a given unframed knot is infinite. This follows from the existence of the self-linking number $\slk$…
math.SG2001
Relative Framing of Transverse knots
Vladimir Chernov
It is well-known that a knot in a contact manifold transverse to a trivialized contact structure possesses the natural framing given by the first of the trivialization vect…