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math.GT2003
Property P for Knots admitting Certain Gabai Disks
Oliver T. Dasbach, Tao Li
We show that if a knot has a minimal spanning surface that admits certain Gabai disks, then this knot has Property P. As one of the applications we extend and simplify a recent res…
math.GT1998
The Word Problem for the Singular Braid Monoid
Oliver T. Dasbach, Bernd Gemein
We give a solution to the word problem for the singular braid monoid SB_n. The complexity of the algorithm is quadratic in the product of the word length and the number of the sing…
math.GT1998
A Faithful Representation of the Singular Braid Monoid on Three Strands
Oliver T. Dasbach, Bernd Gemein
We show that a certain linear representation of the singular braid monoid on three strands is faithful. Furthermore we will give a second - group theoretically motivated - solution…